Question

Ravi is 12 years younger than Surya. Ravi's age is 40% of the sum of his and Surya's age. What will be Surya's age 9 years hence?​

Answer 1

Answer: surya age after 9yr will be 45 yr

Step-by-step explanation:

Let age of surya is s and ravi is r, so from question their will be two equation

s = r + 12. (i)

r = 2/5(2r + 12). (ii)

Solving equ (ii) we get

5r = 2(2r + 12)

r = 24 putting this in eqn (i) we get

s = 36

So, after 9yr

s = 36+9= 45 yr

Answer 2

✬ 45 Years ✬

Step-by-step explanation:

Given:

• Ravi is 12 years younger than Surya.
• Ravi's age is 40% of the sum of his and Surya's age.

To Find:

• What will be Surya's age 9 years hence?

Solution: Let the present age of Surya be x years.

• Ravi is 12 years younger than Surya, Therefore present age of Ravi= (x – 12) Years.

$\small\implies{\sf }$ Sum of Ravi's and Surya's age = x + (x – 12)

$\small\implies{\sf }$ x + x – 12

$\small\implies{\sf }$ 2x – 12 Years.

A/q

• Ravi's age is 40% of the sum and his and Surya's age.

$\small\implies{\sf }$ (x – 12) = 40% of 2x – 12

$\small\implies{\sf }$ (x – 12) = 40/100 (2x – 12)

$\small\implies{\sf }$ (x – 12) = 2/5 (2x – 12) [ So cross multiplication ]

$\small\implies{\sf }$ 5 (x – 12) = 2 (2x – 12)

$\small\implies{\sf }$ 5x – 60 = 4x – 24

$\small\implies{\sf }$ 5x – 4x = – 24 + 60

$\small\implies{\sf }$ x = 36

• The present age of Surya is x = 36 years.

∴ Surya's age 9 years hence = x + 9

→ 36 + 9 = 45 Years.

Hence, Surya's age 9 years hence = 45 Years.