Question

The sum of the ages of Bablu and Raju is 52 years and the difference between their ages is 24 years. What is the present age of Bablu??...​

Answer 1

Answer :-

The present age of Bablu is 38 years.

Step-by-step explanation:

To Find :-

• The present age of Bablu

Given that,

• The sum of the ages of Bablu and Raju is 52 years
• The difference between their ages is 24 years.

Assumption :

Let us assume the present age of Bablu and Raju as (x) years and (y) years.

Therefore,

• (x + y) = 52 ---- (equation 1)
• (x - y) = 24 ---- (equation 2)

★ Solution :-

⠀ ⠀⠀⠀(x + y) = 52 . . . . (i)

and, ⠀ (x - y) = 24 . . . . (ii)

From (i), ⠀ ⠀y = 52 - x

By putting, y = 52 - x in (ii), we get,

⇒ (x - y) = 24

⇒ x - (52 - x) = 24

⇒ x - 52 + x = 24

⇒ 2x - 52 = 24

⇒ 2x = 24 + 52

⇒ 2x = 76

⇒ x = 76/2

⇒ x = 38

Hence, The present age of Bablu is 38 years.

Answer 2

Answer:

38 years

Step-by-step explanation:

Given -

Sum of ages Bablu and Raju = 52 years

Difference between their ages = 24 years

To find -

The present age of Bablu

Solution -

Let us consider Bablu's age = x

and Raju's age = y

So sum of ages,

x + y = 52....(i)

difference between ages,

x - y = 24.....(ii)

Now we will solve linear equation of two variables by elimination method.

Add equation (i) and (ii)

=

x + y = 52

+ x - y = 24

= 2x + 0 = 76

=> 2x = 76

=> x = 76/2

=> x = 38

Hence Bablu's age = 38 years

If you were asked of Raju's age also, so put the value of x in equation (i)

x + y = 52

=> 38 + y = 52

=> y = 52-38

=> y = 14

Hence Raju's age = 14 years

hope it helps.