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Problems based on Numbers Test 4
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© examsnet.com
Question : 32
Total: 40
The product of two numbers is 192 and the sum of these two numbers is 28, then the smaller number is:
18
16
14
12
Validate
Solution:
Let the two numbers be x and y; then
xy = 192 ...(i)
x + y = 28 ...(ii)
(
x
−
y
)
2
=
(
x
+
y
)
2
−
4
x
y
=
(
28
)
2
−
4
×
192
=
784
−
768
=
16
∴
x
−
y
=
4
...(iii)
Solving equations (ii) and (iii) we get x = 16, y = 12.
Hence, smaller number = 12
© examsnet.com
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