Question

*The present age of Riya is one-third the present age of Riya’s mother. The sum of their ages is 76 years. What is Riya’s present age (in years)?*

1️⃣ 57
2️⃣ 19
3️⃣ 38
4️⃣ 76​

Answer 1

Answer:

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Step-by-step explanation:

Consider the present ages of riya and priya are x and y respectively ,then

from statement 1 we have riya age is twice of priya

so x=2y → equation 1

from statement 2 we have three years ago which means when priya is y-3 and riya is x-3 , riya age is thrice of priya

so (x-3)=3(y-3) by solving it

we have x=3y-6 → equation 2

substitute x=2y from equation 1 in equation 2

hence

2y=3y-6

y=6

From our assumption y is priya’s age

So Priya age is 6

Then present Riya Age becomes double that of Priya’s present age

2*age of priya = 2*6=12

Present age of Riya is 12

Answer 2

Answer:

mother's age=57 and riya= 57/3= 17.

Step-by-step explanation:

Let the Riya's mother age = x

then the riya age= 1/3x

A.T.Q. X + X/3= 76

(3x+x)/3=76

4x=76 x 3

4x= 228

x= 228/4

x= 57

hence mother's age=57 and riya= 57/3= 17.