Question

One year ago the ratio of the ages of Sarika and Gouri was 3:4 respectively. One year

hence the ratio of their ages will be 10:13 respectively. What is Sarika’s present age?​

Answer 1

Let Sarika's and Gauri's ages one year ago be 3x and 4x years respectively
Sarika's age 1 year hence = (3x + 2) years
Gauri's age 1 year hence = (4x + 2)

∴3x+2/4x+2=10/13

⇒13(3x+2)=10(4x+2)

⇒39x+26=40x+20

⇒x=6∴3x+24x+2=1013

⇒13(3x+2)=10(4x+2)

⇒39x+26=40x+20

⇒x=6


Hence, Sarika's present age = 3x + 1

= (3 × 6 + 1) years

= 19 years