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 ?
A. 18 years
B. 20 years
C. 26 years
D. Cannot be determined
E. None of these
Answer: Option E
Solution(By Examveda Team)
Let Sarika's and Gauri's ages one year ago be 3x and 4x years respectivelySarika's age 1 year hence = (3x + 2) years
Gauri's age 1 year hence = (4x + 2)
$$\eqalign{ & \therefore \frac{{3x + 2}}{{4x + 2}} = \frac{{10}}{{13}} \cr & \Rightarrow 13\left( {3x + 2} \right) = 10\left( {4x + 2} \right) \cr & \Rightarrow 39x + 26 = 40x + 20 \cr & \Rightarrow x = 6 \cr} $$
Hence, Sarika's present age = 3x + 1
= (3 × 6 + 1) years
= 19 years
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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