Question

The ratio of the present ages of Harpreet and
Mansa is 5:8. After 8 years, the ratio of their ages
will be 7:10. Find the ratio of their ages after
12 years.​

Answer 1

Answer:

8:11

Step-by-step explanation:

Now:

Ratio = Harpreet : Mansa = 5 : 8

8 years later:

Ratio = Harpreet : Mansa = 7 : 10

5x + 8/7 = 8x + 8/10

10(5x + 8) = 7(8x + 8)

50x + 80 = 56x + 56

24 = 6x

x = 4

Harpreet: 5 x 4 + 12 = 32 years

Mansa: 8 x 4 + 12 = 44 years

Ratio: 32:44 = 5:8

Answer 2

Answer:

Let the age of Harpreet=5x

age of Mansa=8x

After 8 years ;

age of Harpreet=5x+8

age of Mansa=8x+8

given-

(5x+8)/(8x+8)=7/10

cross multiplying and solving:-

x=4

therefore present age of Harpreet=5x=5*4=20 years

present age of Mansa = 8*4=32 years.

After 12 years:

age of Harpreet=32 years

age of Mansa=44 years

ratio of their ages=32:44=8:11

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