five years ago the average Age of husband and wife was 23 year, today the average of husband wife and children is 20 how old is the child.
Answers
Answer:
14 years
Step-by-step explanation:
average =addition of quantities/no. of quantities
sum of age of husband and wife is 23×2=46
age of child
=(46+x)/3=20
=46+x =20×3
=46+x=60
=x=60-46
=x=15
Answer:
The child is 4 years old
Step-by-step explanation:
Let H be husband's age
Let W be wife's age
Let C be child's age
Five years ago, given
(H + W)/2 = 23
H + W = 23*2
H + W = 46 ------ (i)
After five years,
Husband would be H + 5
Wife would be W +5
So, (i) would become (H+5) + (W+5)
H + 5 + W + 5
H + W + 10
46 + 10 (H + W = 46)
56
So, After five years the sum of ages of H and W are 56 -----(ii)
Given, (H + W + C)/3 = 20
H + W + C = 60
56 + C = 60 {from (ii)}
Therefore,C = Child's age is 60-56 =4years