Question

The ages of Bhakti and Neil are in the ratio of 8 : 7 respectively. After 6 years, the ratio of
their ages will be 19 : 17. What is the difference in their ages?
a) 4 years b) 8 years c) 10 years
d) 12 years e) None of these

Answer 1

the difference in their age is
a) 4 years

Answer 2

Answer:

4 years

Step-by-step explanation:

The ages of Bhakti and Neil are in the ratio of 8 : 7 respectively.

Let the ratio be x

So, Bhakti's age = 8x

Neil's age = 7x

After 6 years

Bhakti's age = 8x+6

Neil's age = 7x+6

We are given that After 6 years, the ratio of  their ages will be 19 : 17.

So, $\frac{8x+6}{7x+6}=\frac{19}{17}$

$17(8x+6)=19(7x+6)$

$136x+102=133x+114$

$3x=12$

$x=4$

Bhakti's age = 8x =8(4) =32 years

Neil's age = 7x =7(4)=28 years

Difference in their ages = 32 years - 28 years = 4 years

Hence the difference in their ages is 4 years.

So, Option A is true.