Question

The age of A and B are in the ratio 5 is to 2 after 5 years there it's will be in the ratio 15 is to 7 the percent age of A is

Answer 1

Let the present ages of A and B be 5x and 2x

After 5 years,

(5x+5) : (2x + 5) = 15:7

(5x+5)/(2x+5) = 15/7

7(5x+5) = 15(2x+5)

35x + 35 = 30x + 75

5x = 40.

x = 8

Present age of A = 5(8) = 40 yrs

Present age of B = 2(8) = 16 yrs

Answer 2

✬ Present age of A= 40 Years ✬

Step-by-step explanation:

Given:

• The ages of A and B are in ratio 5 : 2.
• After 5 years their ages will be in ratio 15:7

To Find:

• What is the present age of A ?

Solution: Let X be the common ratio .

∴ A's age = 5x and B's age = 2x

• After 5 years their ages ➬

• A's age = (5x + 5) Years
• B's age = (2x + 5) Years

• After 5 years their ages will be in ratio 15:7. So,

$\implies{\rm }$ (5x + 5)/(2x + 5) = 15/7

$\implies{\rm }$ 7(5x + 5) = 15(2x + 5)

$\implies{\rm }$ 35x + 35 = 30x + 75

$\implies{\rm }$ 35x – 30x = 75 – 35

$\implies{\rm }$ 5x = 40

$\implies{\rm }$ x = 40/5

$\implies{\rm }$ x = 8

Hence, Present age of A = 5 x 8 = 40 Years

Present age of B = 2 x 8 = 16 Years

__________________

★ ChEck★

➧ (5x + 5)/(2x + 5) = 15/7

➧ (40 + 5)/(16 + 5) = 15/7

➧ 45/21 = 15/7

➧ 15/7 = 15/7 { LHS = RHS }