One year ago, the ratio of Gaurav’s and Sachin’s age was 6 : 7 respectively. Four years hence, this ratio would become 7 : 8. How old is Sachin ?

Let Gaurav’s and Sachin’s ages one year ago be 6$x$ and 7$x$ years

respectively.

Gaurav’s age 4 years hence = $(6x+1)$ + 4 = $(6x+5)$ years

Sachin’s age 4 years hence = $(7x+1)$ + 4 = $(7x+5)$ years

$\frac{6x + 5}{7x + 5}$ = $\frac{7}{8}$

8$(6x+5)$ $=$ 7$(7x+5)$

48$x$ + 40 = 49$x$ + 35

$x$ = 5

Hence Sachin`s present age = $(7x+1)$ = 36 years

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