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.
Answers
Answered by
0
Answer:
12
Step-by-step explanation:
HOPE IT'S HELPFUL!!!
Answered by
23
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.
Let,
- Age of P = x
- Age of Q = y
- Age of R = z
We have,
- Age (x + y) = 39 years
- Average age (x, y, z) = 5 + z
- Age of R = ?
★ Finding average age (P, Q, R) :-
➻ Average age (P, Q, R) = [Age (P + Q + R)]/3
➻ Average age (x, y, z) = (x + y + z)/3 years
➻ Average age (P, Q, R) = (39 + z)/3 years
- Hence, average age of P, Q, R is (39 + z)/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)
➻ Average age (x, y, z) = 5 + z
➻ (39 + z)/3 = 5 + z
➻ 39 + z = 3(5 + z)
➻ 39 + z = 15 + 3z
➻ 39 - 15 = 3z - z
➻ 24 = 2z
➻ 24/2 = z
➻ 12 = z
➻ z = 12
- Hence, age of R is 12 years.
★ Related Questions & Answers :-
- brainly.in/question/42015794
- brainly.in/question/42160667
- brainly.in/question/42985568
- brainly.in/question/43144447
- brainly.in/question/43339790
- brainly.in/question/43494734
- brainly.in/question/43722134
- brainly.in/question/43739437
- brainly.in/question/43911247
- brainly.in/question/37612230
- brainly.in/question/44405238
- brainly.in/question/44906731
- brainly.in/question/44908156
▬▬▬▬▬▬▬▬▬▬▬▬
Similar questions