Question

The ages or Rahul and Laxmi are in the ratio 5\7Four years later, the sum of their ages will be
What are their present ages?​

Answer 1

QUESTION

The ages of Rahul and Laxmi are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages?

ANSWER

Let Rahul's age and Laxmi's age be x and y respectively.

Given

The ages of Rahul and Laxmi are in the ratio 5:7.

=> Rahul = 5x

=> Laxmi = 7x

Four years later, the sum of their ages will be 56 years.

$\implies 5x+4+7x+4=56\\\implies 12x+8=56\\\implies 12x=56-8\\\implies 12x=48\\\implies x = 4$

Rahul's age = 4 * 5 = 20 years

Laxmi's age = 7 * 4 = 28 years

                                                                       

Answer 2

The ages of Rahul and Laxmi are in the ratio 5:7

Let Rahul’s present age=5x

Laxmi present age=7x

Four years later the sum of their ages will be 56 years. So according to the condition,

(5x+4)+(7x+4)=56

12x+8=56

12x=56–8

12x=48

x=48/12

x=4

Therefore Rahul’s present age =5*4=20years

Laxmi’s present age=7*4=28years