Question

Sanjay is now 1/2 as old as his brother. In six years more than he will be 3/5 as old as his brother then. what is the present age of each boy

Answer 1

Answer:

let, x is a sanjay & y is a his big brother

by 1st condition x=1/2y. =2x=y. (equation 1)

by 2nd condition 3 (y+6)=5 (x+6)

3 ( y +6)=5 ( x+6) →3y+18=5x +30

5x-3y+30-18.=0 5x-3y= -12. (equation 2)

equation 1 multiply by 3

6x-3y=0. (equation 3)

equation 2 substract in equation 3

6x-3y=0

-

5x+3y=12

________

x=12 years

BY 1st condition

2x=y

2×12=y

therefore

y=24 years