Question

3. The age of Ganesh and Rajiv is in the ratio 3:5 and that of Rajiv and Madhav is 3:5. The sum of their ages is 147. Find the age of Rajiv.​

Answer 1

Answer:

Given

Ages of Ganesh and Rakesh are given in ratio = 3:5

Sum of their ages after 5 years = 74 years

• To find

The present ages of Ganesh and Rakesh

• Solution

Let the age of Ganesh and Rakesh be 3x and 5x respectively.

★ Five years later -

Their ages -

Ganesh's age = 3x + 5

Rakesh's age = 5x + 5

★ According to the question,

: s⟹ 3x + 5 + 5x + 5 = 74

: ⟹ 8x + 10 = 74

:⟹ 8x = 74 - 10

⟹ 8x = 64

8

64

: \implies⟹ x = 8

• The value of x = 8

★ Their present ages -

Ganesh's age = 3x + 5 = 3 × 8 = 24

Rakesh's age = 5x + 5 = 5 × 8 = age~=~

Ganesh

′

s age = 24 years

\green{\bigstar}★ \large{\boxed{\sf{\red{Rakesh's~age~=~40~years}}}}

Rakesh

′

s age = 40 years

━━━━━━━━━━━

Verify -

⟹ 3x + 5 + 5x + 5 = 74

⟹ 3 × 8 + 5 + 5 × 8 + 5

⟹ 24 + 5 + 40 + 5

⟹ 74

•°• LHS = RHS

\blue{\bigstar}★ Hence,

Answer 2

The answer is 45 years.

GIVEN

The age of Ganesh and Rajiv is in the ratio 3:5 and that of Rajiv and Madhav is 3:5.

TO FIND

The sum of their ages is 147. Find the age of Rajiv.

SOLUTION

Let,

Age of Ganesh= 3x

Age of Rajiv = 5x

Given,

Age of Madhav is 5/3 times the age of Rajiv,

So,

5× × (5/3) = (25/3)x.

The sum of their age= 147,

So,

3x+5x+(25/3)x = 147

Multiplying 3 in both side,

→ 9x+15x + 25x = 441

-49x=441

The sum of their age= 147,

So,

3x+5x+(25/3)x = 147

multiply 3 in both side,

9x+15x+25x=441

→ 49x=441

⇒x=9 (Dividing by 49)

5x = 5x9

= 45.

Hence, the age of Rajiv is 45 years

#SPJ3