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UPSC CDS Math Ratio Proportion and Variation Questions
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© examsnet.com
Question : 5
Total: 20
Ten (10) years before, the ages of a mother and her daughter were in the ratio 3 : 1. In another 10 years from now, the ratio of their . ages will be 13 : 7. What are their present ages ?
[2018 CDS-II]
39 years, 21 years
55 years, 25 years
75 years, 25 years
49 years, 31 years
Validate
Solution:
Let the age of mother and daughter 10 years ago be 3x and x, respectively.
According to the question,
3
x
+
20
x
+
20
=
13
7
⇒
21
x
+
140
=
13
x
+
260
⇒
21
x
−
13
x
=
260
−
140
⇒
x
=
15
Present age of mother
=
3
×
15
+
10
=
55
years
Present age of daughter
=
x
+
10
=
15
+
10
=
25
$$years.
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