How many brothers, sisters and aunts |
| Step 1: |
Ask your friend to note down the number of brothers,
sisters and aunts |
| Step 2: |
Ask him to multiply the number of brothers with 2 and ask
him to add 3 |
| Step 3: |
Ask him to multiply with 5 and ask him to add number of sisters |
| Step 4: |
Ask him to multiply with 10 and ask him to add the number
of aunts and ask him to reveal the result |
| Step 5: |
Subtract 150 from the result and reveal the result |
| Step 6: |
Hundreds place represents brothers, tens place represents
sisters and units place represents aunts |
| |
Secret: In doing the above process, we have
added 150, hence subtract 150. |
 |
Step 1: |
Let brothers be 3, sisters be 2, and aunts
be 4 |
| Step 2: |
3 x 2 + 3 = 9 |
| Step 3: |
9 x 5 = 45 + 2 = 47 |
| Step 4: |
47 x 10 = 470, 470 + 4 = 474 |
| Step 5: |
474 – 150 = 324 |
| |
|
| Hence brothers = 3, sisters = 2 and aunts
=4 |
|
| |
Algebraic Explanation:
- Let the brothers be X, Sisters be Y, and aunts be Z
- X + 2 = 2X, 2X + 3
- (2X + 3 ) 5 = 10X + 15, 10X + 15 + Y
- (10X + 15 + Y) 10 = 100X + 150 + 10Y, 100X + 150 + 10Y
+ Z
- 100 + 150 + 10Y + Z – 150 = 100X + 10Y + Z
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