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Byju's Answer
Standard VII
Mathematics
Substitution
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Question
Mark (✓) against the correct answer
The ages of A and B are in the ratio 3 : 8. Six years hence, their ages will be in the ratio 4 : 9. The present age of A is
(a) 18 years
(b) 15 years
(c) 12 years
(d) 21 years
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Solution
(a) 18 years
Suppose that the present ages of A and B are 3x yrs and 8x yrs, respectively.
After six years, the age of A will be (3x+6) yrs and that of B will be (8x+6) yrs.
Then, (3x +6) : (8x + 6) = 4 : 9
⇒
3
x
+
6
8
x
+
6
=
4
9
⇒
27
x
+
54
=
32
x
+
24
⇒
5
x
=
30
⇒
x
=
6
Hence
,
the
present
ages
of
A
and
B
are
18
yrs
and
48
yrs
,
respectively
.
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