Question

present ages of Anu and Raj are in the ratio 4 ratio 5 present age of Anu and Raj are in the ratio 4 ratio 5 8 years from now the ratio of their ages will be 5 ratio 6 find their present ages ​

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Answer 1

Answer:

Let their present age be 4a and 5a.

After 8 years, their ages will be (4a+8) and (5a+8)

Ratio would be (4a+8) : (5a+8)

But this ratio is given to be 5:6. Therefore

(4a+8) : (5a+8) = 5:6

solve this (4a+8) / (5a+8) = 5/6

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

=> 24a + 48 = 25a + 40

=> a = 8

So their present age would be

4a = 4x8 = 32

5a = 5x8 = 40

Step-by-step explanation:

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Answer 2

Question:

present ages of Anu and Raj are in the ratio 4 ratio 5 present age of Anu and Raj are in the ratio 4 ratio 5 8 years from now the ratio of their ages will be 5 ratio 6 find their present ages .

Answer:

Anu = 32 yrs, Raj = 40 yrs

Step-by-step explanation:

Let the present of Anu and Raj be 4x and 5x respectively

After 8 years, there ages = 4x + 8 , 5x + 8

So, now

$= \frac{4x + 8}{5x + 8} = \frac{5}{6}$

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

= 24x + 48 = 25x + 40

= 25x - 24x = 48 - 40

= x = 8

• So, present age of Anu 4 × 8 = 32, Raj 5 × 8 = 40 ans.

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