A set of five two digit integers rsquo is given Average of first and last number is middle number Se...........

Quantitative Aptitude(IBPS PO) Number System

A set of five two-digit integers’ is given. Average of first and last number is middle number. Second number is half of first number. Sum of first three numbers is 127. Middle number is (A) and average of five numbers is (B). Fourth number is 62. What can be the values of (A) and (B) respectively?

64, 50

62, 55

62, 50

64, 55

60, 55

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Explanation:

Let first and fifth numbers be ‘2x’ and ‘2a’ respectively.
Then, third number (A) = (2x+2a)/2 = x + a
Second number = 2x/2 = x
Then,
ATQ,
2x + x + x + a = 127
4x + a = 127
From option (a)
x + a = 64
⇒3x = 63
⇒x = 21
Average of five numbers = (42+21+64+62+2(64–21)) / 5 = 55
According to this, option (d) 64, 55 is our correct answer.