Question

the age of vivek and sumit are in the ratio 2:3. after 12 year ,their ages will be in the ratio 11:15. the age of sumit is

Answer 1

Hey!!!!.....here is ur answer

let the present ages of vivek and sumit are 2x and 3x respectively

acc to question... 2x+12/3x+12=11/15

15 (2x+12)=11 (3x+12)

30x+180=33x+132

3x=48

x=16

so the age of sumit is 3x=3×16=48 year

hope it will help you

Answer 2

$hi...$
The age vivek and sumit are in the ratio
2 : 3 .

Let the common multiple be x.

Vivek's age = 2x
Sumit's age = 3x

By the given condition ,

$\frac{2x + 12}{3x + 12} = \frac{11}{15}$

$15(2x + 12) = 11(3x + 12)$

$30x + 180 = 33x + 132$

$180 - 132 = 33x - 30x$

$48 = 3x$

$x = \frac{48}{3}$

$x = 16$
Sumit's age = 3x = 3(16) = 48yrs.
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Therefore ,
The age of Sumit is 48 years.
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$hope \: \: this \: \: helps..$