SOLUTION: a man with a monthly income of rs 363 spends as much in 4 months , as he earns in 3 months . after 12 years he divided his saving amongst 3 sons , giving the eldest twice as much

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Question 808202: a man with a monthly income of rs 363 spends as much in 4 months , as he earns in 3 months . after 12 years he divided his saving amongst 3 sons , giving the eldest twice as much as the second and three times as much as the third . how much does the youngest son receive?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Earn in 3 months: 363*3 rs
Spend in 4 months: 363*3 rs
Earn in 4 months: 363*4 rs
SAVE in 4 months: 363*4-363*3 rs

The amount the man saves in 12 years is 3(363*4-363*3)*12 because 12 months per year and given years to save was 12 years.

Simplify amount saved expression:
3%2A12%2A363%2A%284-1%29+=+3%2A12%2A363%2A3=3%2A3%2A4%2A3%2A363 rs.
3%2A3%2A3%2A3%2A4%2A121
3%2A3%2A3%2A3%2A4%2A11%2A11 rs. Call this saved quantity, V.

Distrubution among the sons:
Let z = how much eldest son gets.
middle son gets %281%2F2%29z.
"third son" gets %281%2F3%29z.

The quantity, V must be z%2Bz%2F2%2Bz%2F3.
z%2Bz%2F2%2Bz%2F3=V
z%281%2B1%2F2%2B1%2F3%29=V
z%286%2B3%2B2%29%2F6=V
z%2811%2F6%29=V
z=V%286%2F11%29
z=%283%2A3%2A3%2A3%2A4%2A11%2A11%29%286%2F11%29
z=6%2A3%2A3%2A3%2A3%2A4%2A11%29
z=21384 rs. And you can find the amounts to the two other sons.