Question
The average age of a group of 70 students is
14 years. If three students whose ages are 22 years, 20years, ________ years are replaced with three new students whose ages are 19 years, ______ years, and 32 years, then the new average age is increased by 0.4 years. The value given in the option, which of the following will correctly fill the banks. I. 17, 36 II. 22, 41 III. 15, 34Solution
The average age increased by 0.4 years . So, the difference of sum of ages of new student to the age of old student = 70*0.4 = 28 years (19+32+__x___) - (20+22+__y_ _) = 28 (x-y) + (51 -4 2 ) = 28 x-y = 19 So, option I, II, and III all satisfy the above relation Hence, all three will be the answer
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