InterviewSolution
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InterviewSolution
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The arithemetic mean and the geometric mean of two distinct 2-digit numbers x and y are two integers one of which can be obtained by reserving the digits of the other (in base 10 representation). Then x + y equalsA. 82B. 116C. 130D. 148 |
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Answer» Correct Answer - C `(x+y)/(2)=10 a+b, sqrt(xy)=10 b+a" "(a, b in N)` `xy=(10b+a)^(2)` `(x-y)^(2)=4(11a+11b)(9a-9b)` `=4.11 . (a+b). 9(a-b)` `rArr a+b=11, a-b=1` `a=6, b=5` `((x-y)^(2)" is perfect square of an integer")` `x+y=130` |
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