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The present ages of Maya and Meera are in the ratio of 6 : 5 and after fifteen years the ratio will be 9 : 8. Meera's age is:
Question

The present ages of Maya and Meera are in the ratio of 6 : 5 and after fifteen years the ratio will be 9 : 8. Meera's age is:

A.

30 years

B.

25 years

C.

20 years

D.

35 years

Correct option is B

Given:

The present ages of Maya and Meera are in the ratio of 6 : 5.

After 15 years, the ratio of their ages will be 9 : 8.

Solution:

6x+155x+15=98\frac{6x + 15}{5x + 15} = \frac{9}{8}​​

8(6x + 15) = 9(5x + 15)

48x + 120 = 45x + 135

48x - 45x = 135 - 120

3x = 15

x = 5

Meera’s age = 5x = 5 × 5 = 25

Meera's present age is 25 years.  

Alternate Method:  

3x = 15 

1x = 5 

5x = 5×\times​ 5 = 25 







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