Question

The present ages of Amayra and Deepika are in the ratio 11:8. 8 years later the sum of their ages will be 54 years. What are their present ages?​

Answer 1

Given :

• The present ages of Amayra and Deepika are in the ratio 11:8.

• 8 years later the sum of their ages will be 54 years.

To find :

• Their present ages =?

Step-by-step explanation :

Let, the present age of Amayra 's be 11x.

Then, the present age of Deepika's be 8x.

8 years later Amayra's age will be, 11x + 8

8 years later Deepika's age will be, 8x + 8

According to the question :

➮ (11x + 8) + ( 8x + 8) = 54

➮ 11x + 8 + 8x + 8 = 54

➮ 11x + 8x + 8 + 8 = 54

➮ 19x + 16 = 54

➮ 19x = 54 - 16

➮ 19x = 38

➮ x = 38/19

➮ x = 2

Therefore, We got the value of, x = 2.

Hence,

The present age of Amayra's, 11x = 11 × 2 = 22 year's

The present age of Deepika's, 8x = 8 × 2 = 16 years

Answer 2

Answer:

let the ages of Amayra and Deepika be 11x and 8x

ATQ,

(11x+8)+(8x+8) =54

11x+8x+8+8 =54

19x+16 =54

19x =54-16

19x=38

therefore,x=38/19 i.e 2        

so,x=2

so, age of amayra is 11x =11*2 =22 years old

and age of Deepika is 8x =8*2 =16 years old

this is your answer mate

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