What is the greater of the two numbers whose product is 1092 and the sum of the two numbers exceeds their difference by 42 ?
A. 44
B. 48
C. 52
D. 54
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the numbers be x and yThen,
$$xy = 1092.....(i)$$
And,
$$\eqalign{ & \Leftrightarrow \left( {x + y} \right) - \left( {x - y} \right) = 42 \cr & \Leftrightarrow 2y = 42 \cr & \Leftrightarrow y = 21 \cr} $$
Putting y = 21 in (i), we get :
$$x = \frac{{1092}}{{21}} = 52$$
Hence, greater number = 52
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
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D. 54
E. None of these
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B. 4
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D. Cannot be determined
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