Latest Syntel Aptitude Question SOLUTION: Average age of X number of adults in a class is 30yrs. If 12 new adults with avg age of 32 joined with them then the average age increases by one. Find X?

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Average age of X number of adults in a class is 30yrs. If 12 new adults with avg age of 32 joined with them then the average age increases by one. Find X?

Asked In Syntel (12 years ago)

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Karthick Babu  (12 years ago)

avg of new 12 adults age = 32
total age of new 12 adults = 32 * 12 = 384
avg of x adults age = 30
total age of x adults =30 * x
12 new adults add with old x adults. so total no. of adults is (12 + x)
total age of (12 + x) adults = 384 + (30 * x)
avg of (12 + x) adults age = 384 + (30*x)/(12+x) = 31 (given)
solve this we get, x =12

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Shiv Kumar  (12 years ago)

x is 22. (x*30) + (12*32) = (x+12)*31

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