the average age of 5 members of a family is 21 years, if the age of grandfather is included. The average age is increases by 9 year. what is the age of grandfather. Explain with steps
Answers
Answered by
4
Step-by-step explanation:
Sum of 5 members= 21×5
=105 years
Sum of 6 members=6×30
=180
now age of grandfather=180-105
=75 years
Answered by
0
Answer:
Age of grandfather is 75 years.
Step-by-step explanation:
Average age of five members = 21
⇒ Let the ages of the five members be a, b, c, x, y,
Then,
a+b+c+x+y/5 = 21
a+b+c+x+y = 21 × 5 = 105
∴ Sum of ages of family members is 105.
Let grandfather's age be q.
If his age is added, then,
105 + q / 6 = 21 + 9 = 30
105 + q = 30 × 6 = 180
q = 180 - 105
q = 75
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