Question

The ages of rahul and hari are in the ratio of 5:6. four years later sum of their ages will be 56 years. what are their present ages

Answer 1

Let,
rahul's age=x years
hari's age=y years

x:y=5:6
x/y=5/6
6x=5y

Four years later,
Rahul age=x+4
hari age=y+4

(x+4)+(y+4)=56
x+y+8=56
x+y=48
x=48-y

put x=48-y in 6x=5y

6(48-y)=5y
288-6y=5y
288=11y
288/11=y
26.18=y

put value of y in x=48-y

x=48-26.18
x=21.82