### The average age of P, Q and R is 15 years more than R’s age. If the total age of P and Q together is 39 years, then R’s age is ?.

A. 12 years B. 24 years C. 16 years D. 14 years

### Solution(By Apex Team)

$\begin{array}{l}\frac{P+Q+R}{3}=\mathrm{R}+5\\ \mathrm{P}+\mathrm{Q}+\mathrm{R}=3\mathrm{R}+15\\ \mathrm{P}+\mathrm{Q}-2\mathrm{R}=15\ldots\text{ (i) }\\ \mathrm{P}+\mathrm{Q}=39\ldots\ldots\text{ (ii) }\\ \text{From equation (i) and (ii)}\\ \text{39 – 2R = 15}\\ \text{2R = 24}\\ \text{R = 12 years}\end{array}$

## Related Questions On Average

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12