Question

13. Last year Kusum was 10 years younger than Kajal.
1 year hence, their age will be in the ratio 11:16.
Their present ages in the years are
(a) 22, 32
(b) 20, 30
(c)21, 31
(d) 11, 21
(e) None of these​

Answer 1

answer is a)22 and 32.....

Answer 2

Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Last year Kusum was 10 years younger than Kajal.

Let the present age of Kajal be 'x+1'

Let the present age of Kusum be 'x-10+1' = x-9

After 1 year,

their age will be in the ratio of 11:16.

So, According to question, we get that

$\dfrac{x+1-9}{x+1+1}=\dfrac{11}{16}\\\\\dfrac{x-8}{x+2}=\dfrac{11}{16}\\\\16(x-8)=11(x+2)\\\\16x-128=11x+22\\\\16x-11x=22+128\\\\5x=150\\\\x=\dfrac{150}{5}\\\\x=30$

So, the present age of kajal be 30+1 = 31 years,

and the present age of Kusum be 30-9=21 years

Hence, Option 'c' is correct.

# learn more:

Six years ago, the ratio of the ages of kunal and sagar was 6 : 5. four years hence, the ratio of their ages will be 11 : 10. what is sagar's age at present?

a. 16 years

b. 18 years

c. 20 years

d. cannot be determined

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