Question

The ages of Asha and Nirmal are in the ratio 5:6. Five years from now their ages will be 6:7. Find their present ages?

Answer 1

Answer:

Age of Asha = 25 year

Age of Nirmal = 30 years

Step-by-step explanation:

Ages at present:

Age of Asha = 5x

Age of Nirmal = 6x

Ages after 5 year:

Age of Asha = 5x+ 5

Age of Nirmal = 6x + 5

5x +5 : 6x +5 = 6 : 7

$\dfrac{5x +5}{6x+5}=\dfrac{6}{7}$

Cross multiply,

7*(5x+ 5) = 6*(6x+5)

7*5x + 7*5 = 6*6x + 6*5

35x + 35 = 36x + 30

35x  +35 - 30  = 36x

35x + 5 = 36x

5 = 36x - 35x

5 = x

x = 5

Age of Asha = 5x = 5*5 = 25 years

Age of Nirmal = 6x = 6*5 = 30 years