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Problems on Numbers - Quantitative Aptitude (MCQ) questions for Q. 49
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Problems on Numbers
Q. A natural number is greater than another natural number by 3. The sum of their squares is 89. Find them.
- Published on 12 Jun 15
a.
5, 8
b.
11, 8
c.
4, 7
d.
9, 6
ANSWER: 5, 8
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Discussion
Divya Sahu
-Posted on 12 Jan 20
Let N1 and N2 are two natural numbers
N1 is greater than N2 by 3 i.e.
N1 - N2 = 3 …... (1)
Sum of squares of N1 and N2 is 89 i.e.
N1^2 + N2^2 = 89
(N1 - N2)^2 = 3^2
N1^2 + N2^2 - 2N1N2 = 9
89 - 2N1N2 = 9
2N1N2 = 89 - 9
N1N2 = 80/2 = 40
LCM of 40 = 2*2*2*5
(N1,N2) = (2*2*2,5) = (8,5) or (5,8)
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