Question

the age of Hari and Shayam are in ratio 4:5.eight years from now the ratio of their ages will be 5:6.find their present ages​

Answer 1

Answer:

the present ages of Anu is 32 years and present age of Raj is 40 years.

Step-by-step explanation:

Let the rational between ages of Anu and Raj be x

Present ages of Anu and Raj are in the ratio 4:5. So their ages are 4x and 5x

Eight years from now the ratio of their ages will be 5:6

8 years from now their ages, 4x + 8 and 5x + 8

Their ratio is 5 : 6

4x + 8/5x + 8 = 5/6

Cross multiplication

5 (5x + 8) = 6 (4x + 8)

25x + 40 = 24x + 48

25x - 24x = 48 - 40

x = 8

The rational is 8, their ages

Anu’s present age 4x = 4 × 8 = 32 years

Raj's present age 5x = 5 × 8 = 40 years

the present ages of Anu is 32 years and present age of Raj is 40 years.

Answer 2

Given:-

⠀⠀★ Ratio of shyam and Hari's age = 4:5

⠀⠀★ Ratio of their age after 8 years = 5:6

⠀⠀★ Hari's present age = 4x

⠀⠀★ Shayam's present age = 5x

⠀

To Find:-

⠀⠀★ Present age of Hari and Shayam.

⠀

Equations:-

★ According to the question:-

⠀⠀◍ After 8 years Hari age will = 5x

⠀⠀◍ After 8 years Shayam age will = 6x

⠀⠀◍ 4x + 8 = 5x

⠀

Solution:-

⠀⠀◍ 4x + 8 = 5x

⠀⠀◍ x = 8

⠀

Answer:-

⠀⠀★ Hari's age = 4 $\times$ 8 = 32

⠀⠀★ Shayam's age = 5 $\times$ 8 = 40