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Haryana Police Constable Model Paper 8
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© examsnet.com
Question : 5
Total: 100
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
48
35
40
55
Validate
Solution:
Person's present age
=
2
5
of his mother's present age
Person's present age
+
8
=
1
2
of (mother's present age
+
8
)
Let the mother's present age be
x
years.
Then, the person's present age
=
(
2
5
)
x
Then according to the question
⇒
[
(
2
x
5
)
+
8
]
=
1
2
×
(
x
+
8
)
⇒
2
(
2
x
+
40
)
=
5
(
x
+
8
)
⇒
4
x
+
80
=
5
x
+
40
⇒
x
=
40
∴ The age of mother is
40
years
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