Question

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

Answer 1

Answer:

Present age of Anu = 4x = 4 x 8 = 32 years

& Present age of Raj = 5x = 5 x 8 = 40 Years

Step-by-step explanation:

Given that,

Present ages of Anu and Raj are in the ratio 4:5

Present age of Anu Present age of Raj 415

Let present age of Anu = 4x Years

& present age of Raj = 5x years

After 8 years from now,

Anu's age = (4x + 8) years

Raj's age = (5x + 8) years

Given that,

Ratio of ages after 8 years is 5:6

Anu's age after 8 years Raj's age after 8 years = - 556

4x + 8 5 = 5x + 8 6

By cross-multiplication

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

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

24x +48 = 25x + 40

48 - 40 = 25x – 24x

-

8 = x

x = 8

:. Present age of Anu = 4x = 4 x 8 = 32 years

& Present age of Raj = 5x = 5 x 8 = 40 Years