Question

Kanchan receives a certain amount of money on her retirement from
her employer She gives half of this money and an additional sum of
Rs 10000 to her daughter. She also gives one-third of the money
received and an additional sum of Rs 3000 to her son. If the daughter
gets twice as much as the son then find the amount of money Kanchan
received on her retirement​

Answer 1

Answer:

Let x=the amount of money kanchan received on her retirement

a=amt. received by daughter

b=amt. received by son

(1)a=x/2+10000

(2)b=x/3+3000

(3)a=2b

Sltn:

Substituting (1) and (2) to (3),

x/2+10000=2(x/3+3000)

x/2+10000=2x/3+6000

6(x/2+10000)=6(2x/3+6000)

3x+60000=4x+36000

3x+60000-36000=4x+36000-36000

3x+24000=4x

x=24000

Therefore, Kanchan received Rs. 24000