the ratio of the present age of mother and her son is 2:1 . 6 year ago the ratio of their ages was 9:4 find the Mother's present age
Answers
Step-by-step explanation:
m:s = 2:1
m = 2s
m-6/s-6 = 9:4
4(2s-6 ) = 9(s-6)
8s - 24 = 9s -54
54-24 = s
s = 30
m= 30×2= 60
The mother's present age is 60 years.
Given:
The ratio of the present age of the mother and her son is 2:1.
6 years ago the ratio of their ages was 9:4.
To Find:
The mother's present age.
Solution:
Let us assume that the mother's and the son's present ages are m years and s years respectively.
According to the given condition, the ratio of the present age of the mother and her son is 2:1.
⇒ m/s = 2/1
⇒ m = 2s ....................(I)
Their ages 6 years ago:
The mother's age 6 years ago = (m-6) years.
The son's age 6 years ago = (s-6) years.
It is given that 6 years ago the ratio of their ages was 9:4.
⇒ (m-6)/(s-6) = 9/4.
⇒ (2s-6)/(s-6) = 9/4 ....................using (I)
⇒ 8s-24 = 9s-54
⇒ 9s-8s = 54-24 = 30.
⇒ s = 30
Hence, the son's present age s = 30 years.
So, m = 2s = 2(30) = 60.
Hence, the mother's present age m = 60 years.
∴ The mother's present age is 60 years.
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