Question
Mathematics Question on Problems on ages
If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68 and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P?
A
19 yr
B
15 yr
C
17 yr
D
12 yr
Answer
12 yr
Explanation
Solution
According to question
P+R+2Q=59...........1
Q+R+3P=68 .........2
P+3Q+3R=108 .................3
Multiply equation (2) by 3
And subtract equation (iii) from it,
Then P=12 years.
So the correct option is (D)