Question

average age of P, Q, R is 5 more than the age of R. If sum of ages of P and Q is 39 years, then find the age of R.​

Answer 1

Answer:

R=12 YEARS

Step-by-step explanation:

Given:

P+Q=39

Average age of P+Q+R/3 is equal to 5 more than R(i.e.,5+R)

According to the given data,

P+Q+R/3 = 5+R

39+R = 3(5+R)

39+R=15+3R

3R-R = 39 -15

2R = 24

Therefore,R = 12

Answer 2

Answer:

• Age of R is 12 years.

Explanation:

Given information,

Average age of P, Q, R is 5 more than the age of R. If sum of ages of P and Q is 39 years, then find the age of R.

• Age (P + Q) = 39 years
• Average age (P, Q, R) = 5 + Age (R)
• Age of R = ?

★ Finding average age (P, Q, R) :-

➻ Average age (P, Q, R) = [Age (P + Q + R)]/3

➻ Average age (P, Q, R) = (39 + R)/3 years

• Hence, average age of P, Q, R is (39 + R)/3 years.

★ According to the Question now,

Average age of P, Q, R is 5 more than the age of R.

Therefore,

➻ Average age (P, Q, R) = 5 + Age (R)

➻ (39 + R)/3 = 5 + R

➻ 39 + R = 3(5 + R)

➻ 39 + R = 15 + 3R

➻ 39 - 15 = 3R - R

➻ 24 = 2R

➻ 24/2 = R

➻ 12 = R

➻ R = 12

• Hence, age of R is 12 years.

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