Question

The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present age of the father is <br />
a)35 years<br />
b)40 years<br />
c)30 years<br />
d)25 years.​

Answer 1

answer is 35...it will help you....

Answer 2

Concept:

Here, we used the concept of addition and division.

Given:

The ratio of the present age of the father to that of the son is 7:2.

To find:

Fathe's present age

Solution:

Let the present age of the father be x years

so, since the ages are in the ratio of 7:2 we can write it as

$\frac{7x}{2x}$

After 10 years, the ratio of the ages of the father and his son will be

$\frac{9}{4}$

So, with this data, we can form an equation,

$\frac{7x}{2x}+\frac{10}{10}=\frac{9}{4} \\4(7x+10)=9(2x+10)\\28x+40=18x+90\\28x-18x=90-40\\10x=50\\x=5$

So, now we can calculate the present age of the father by putting the value of x=5

so, 7*x=7*5

35

Hence, the father's present age is 35 years.

#SPJ2