➕ Viral Maths — Chapter 02: Addition

by Navneet Tiwari (Adda247)  ·  7 Named Approaches for Lightning-Fast Addition · Bank / SSC / Railway / BPSC / BSSC

📌 What This Chapter Covers
  • Addition is the process of finding the sum of two or more numbers — used everywhere from grocery bills to exam calculations.
  • The book advises daily practice: observe numbers around you and add them verbally, such as the numbers on car or motorcycle plates. This expands your mental-calculation range.
  • This chapter contains seven named approaches, each optimized for a specific number pattern.
⚡ QUICK RECALL
Choose the approach by examining the shape of the numbers: 2-digit + 1-digit → Todu-Modu; mirror digits → Ram-Shyam; close numbers → Padosan; numbers near 100/200/300 → Tiding-Tiding; multiple addends → Giddh; long columns → Multi-Number Method.
🗂️ Chapter Index
TabApproachBest For
2Todu-Modu2-digit + 1-digit numbers
32-digit+2-digit / 3-digit+3-digitSimilar-size number pairs
4Ram-Shyam (Judwa)Number + its digit-reversal (mirror pair)
5PadosanTwo numbers very close to each other
6Tiding-Tiding (Hritik-Roshan)One number close to 100/200/300...
7Giddh Approach3+ numbers where some pair sums to a round base
8Multi-Number AdditionLong column of 5+ numbers, place-value grouped
9Master TableAll 7 approaches summarized
Type 1 — Todu-Modu Approach (2-digit + 1-digit)
  • Use when: a two-digit number is added to a one-digit number.
  • Practice daily to add smoothly in a single flow — this is the base skill for every other approach.
Example: 86 + 7
Step 1: Break 86 as 80 + 6 Step 2: Add unit digits: 6 + 7 = 13 Step 3: Add 80 and 13 = 93
⚡ QUICK RECALL
“Todu-Modu” means breaking the number apart: separate the tens and units, add the smaller parts, and then recombine them. It is the foundation of the larger addition approaches.
Type 2 — Two-digit + Two-digit (and Three-digit + Three-digit)
Example: 76 + 37
Step 1: Break 76 as 70+6, and 37 as 30+7 Step 2: Add base numbers first: 70+30 = 100 Step 3: Add unit digits: 6+7 = 13 Step 4: Add both results: 100+13 = 113
Example: 167 + 378 (3-digit version)
Step 1: Break 167 as 100+60+7, and 378 as 300+70+8 Step 2: Add hundreds: 100+300 = 400 Step 3: Add tens: 60+70 = 130 Step 4: Add units: 7+8 = 15 Step 5: Combine: 400+130+15 = 545
⚡ QUICK RECALL
Same Todu-Modu logic, just extended to more place-values: break every number into its place-value parts, add same-place parts together, then combine.
Type 3 — Ram-Shyam (Judwa) Approach — Number + Its Mirror
Use when: a number is added to its own digit-reversal (Judwa/mirror pair)
Example: 36 + 63
Step 1: Add the digits: 3+6 = 9 Step 2: Multiply result by 11: 9 × 11 = 99
Example: 84 + 48
Step 1: Add digits: 4+8 = 12 Step 2: Multiply by 11: 12 × 11 = 132
⚠ EXAM TRAP
This rule works ONLY for mirror pairs (Ram-Shyam/Judwa numbers): 36+63 ✓, but 36+52 ✗ because 52 is not the mirror of 36.
⚡ QUICK RECALL
(digit sum) × 11—the formula remains the same for two-digit numbers as long as the two numbers are digit reversals of each other.
Type 4 — Padosan Approach (Close/Neighbouring Numbers)
Use when: two numbers being added are very close to each other
Example: 35 + 42
Step 1: Double the smaller number: 35×2 = 70 Step 2: Find the gap: 42−35 = 7 Step 3: Add both results: 70+7 = 77
Example: 233 + 238
Step 1: Double smaller: 233×2 = 466 Step 2: Gap: 238−233 = 5 Step 3: Add: 466+5 = 471
⚡ QUICK RECALL
“Padosan” means neighbour. The closer the numbers are, the faster this approach becomes. Double one known number and then add only the small gap.
Type 5 — Tiding-Tiding (Hritik-Roshan) Approach — Near 100/200/300
Use when: one number is close to a round base like 100, 200, 300...
Example: 67 + 96
Step 1: Assume 96 as 100 (4 extra) Step 2: Add 67 with 100: 167 Step 3: Subtract the extra: 167 − 4 = 163
Example: 214 + 299
Step 1: Assume 299 as 300 (1 extra) Step 2: Add 214 with 300: 514 Step 3: Subtract extra: 514 − 1 = 513
Type 5 Extension — Near 90/190/290/390...
Example: 77 + 90
Step 1: Assume 90 as 100 (10 extra) Step 2: Add 77 with 100: 177 Step 3: Subtract extra: 177 − 10 = 167
Example: 568 + 890
Step 1: Assume 890 as 900 (10 extra) Step 2: Add 568 with 900: 1468 Step 3: Subtract extra: 1468 − 10 = 1458
⚠ EXAM TRAP
In the 90/190/290 cases, the “extra” is always 10 because the gap from 90 to 100 is 10. In the 96/196/296 cases, the extra is only a single digit. Do not mix the two patterns.
⚡ QUICK RECALL
Round up to the NEAREST clean hundred, add, then subtract exactly what you added extra.
Type 6 — Giddh (Vulture) Approach — Spot the Base-Forming Pair
Use when: 3 or more numbers are being added — be alert like a vulture (Giddh) to spot which pair sums to a round base (100, 200, 300...)
Example: 35 + 43 + 65
Step 1: Spot the pair that forms a base: 35+65 = 100 Step 2: Add remaining number: 100+43 = 143
Example: 167 + 196 + 133
Step 1: Spot the pair: 167+133 = 300 Step 2: Add remaining: 300+196 = 496
⚡ QUICK RECALL
Just as a vulture identifies its prey from above, first scan which two numbers combine to form a round base. The remaining calculation then becomes simple.
Type 7 — Multi-Number Addition (Place-Value Grouped)
Use when: many numbers (5+) are added together in one go — group by place value instead of adding sequentially
Example: 67+68+35+43+65+55
Step 1: Add all tens-place digits: 6+6+3+4+6+5 = 30 Step 2: Attach a 0: 300 Step 3: Add all units-place digits: 7+8+5+3+5+5 = 33 Step 4: Combine: 300+33 = 333
Example: 56+48+78+567+983 (with hundreds place)
Step 1: Add hundreds-place digits: 5+9 = 14 → attach 00 → 1400 Step 2: Add tens-place digits: 5+4+7+6+8 = 30 → attach 0 → 300 Step 3: Add units-place digits: 6+8+8+7+3 = 32 Step 4: Combine: 1400+300+32 = 1732
⚠ EXAM TRAP
If a column's digit sum exceeds 10, the carry into the next column is already accounted for when you attach 0 or 00 and combine at the end. Apply the carry carefully in the final addition rather than carrying at every step.
⚡ QUICK RECALL
This is the mental-maths version of column addition: begin with the rightmost column, group the place values in reverse order, and then add them all.
📋 Master Table — All Addition Approaches
ApproachWhen to UseCore Rule
Todu-Modu2-digit + 1-digitBreak tens+units, add units first
2-digit+2-digitSimilar-size numbersAdd base numbers, add units, combine
Ram-Shyam (Judwa)Number + its mirror(digit sum) × 11
PadosanVery close numbers2×smaller + gap
Tiding-TidingNear 100/200/300Round up, add, subtract excess
Tiding-Tiding (90-family)Near 90/190/290/390Round to 100/200/300 (extra=10), subtract 10
Giddh3+ numbers, one pair forms a baseSpot base-pair first, then add remainder
Multi-Number (Place-Value)Long column, 5+ numbersSum each place-value column separately, then combine
🔑 Approach Selection Flowchart (Quick Reference)
  • Only 2 numbers, one is 1-digit → Todu-Modu
  • Only 2 numbers, similar digit-count, no special pattern → 2-digit+2-digit method
  • Only 2 numbers, one is exact mirror of other → Ram-Shyam (Judwa)
  • Only 2 numbers, very close in value → Padosan
  • Only 2 numbers, one is near a round hundred → Tiding-Tiding
  • 3+ numbers, some pair sums to a round base → Giddh
  • 5+ numbers, no obvious pattern → Multi-Number Place-Value method