Question

If the ratio of the ages of Maya and Chhaya is 6:5 at present, and fifteen years from now, the ratio will get changed to 9:8, then find Maya's present age.
A.24 years
B.30 years
C.18 years
D.33 years

Answer 1

Answer: B.30 years

Step-by-step explanation:

let the common multiple be x

therefore, maya=6x and chaya=5x

after 15 years there ratio will be 9:8

therefore 6x+15÷5x+15= 9÷8

by doing cross multiplication,

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

48x+120=45x+135

48x=45x+15

15=48x-45x

15=3x

therefore x=15÷3=5

therefore x=5

therefore present age of maya = 6x

                                                     = 6×5

                                                      = 30

therefore , the present age of maya is 30 years .

Answer 2

Answer:

Present age of Maya is 30 years.

Option B is the correct answer.

Step-by-step explanation:

Let Present age of Maya be 6x years.and Present age of Chhaya be 5x years.

After 15 year,

Age of of Maya will be (6x+15) years and age of Chhaya will be (5x+15) years.

Ratio of their age

$\frac{6x + 15}{5x + 15}$

According to question,

$\frac{6x + 15}{5x + 15} = \frac{9}{8}$

By cross multiplication,

$8(6x + 15) = 9(5x + 15) \\ →48x + 120 = 45x + 135 \\ →48x - 45x = 135 - 120 \\→ 3x = 15 \\ →x = \frac{15}{3} = 5$

So, present age of Maya is (6x5)= 30 years

present age of Maya is (6x5)= 30 yearsand present age of Chhaya is (5x5)=25 years.