Question

sum of lucky and Suman age is 35 years today proportion ratio will be 4:5 after 5 years what is the age difference them now​

Answer 1

'5' years is the age difference between them now.

Step-by-step explanation:

As given in question that sum of Lucky and Suman age is 35 years.

Ratio will be 4 : 5 after 5 years.

We have to find the age difference between them now.

Let the age of Lucky and Suman is x and y respectively.

Ratio will be 4a : 5b.

According to the question,

x + y = 35

After 5 years:

x + 5 + y + 5 = 35 + 10

x + y + 10 = 45

Now,

4a + 5a = 45

9a = 45

$a = \frac{45}{9}$

a = 5

Age of Lucky, x = 4 x 5 = 20 years

Age of Suman, y = 5 x 5 = 25 years

Age difference = 25 - 20 = 5 years

Hence, '5' years is the age difference between them now.