*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
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*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
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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
Verified answer
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.