1.

A set of five two-digit integers numbers is given .Average of first and third number is second number. Fourth number is half of first number. Sum of First, second and fourth numbers is 127. Second number is (A) and average of five numbers is (B) .Fifth number is 62. What can be the values of (A) and (B) respectively.

Answer»

64,50
62,55
62,50
64,55

Solution :LET FIRST and THIRD numbers be '2x' and '2a' respectively
Then, second number `=(2x)/(x)=x`
Then, five number are : `2x,(x+a),2a,x,62`
ATQ, `2x+x+x+a=127`
`4x+a=127`
From option (a) x+a=64
`implies 3x=63`
`implies x=21`
AVERAGE of five numbers
`=(42+64+2(64-21)+21+62)/(5)=55`


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