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Avg 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 avg age increases by one. Find X?
let ad1 be adult 1 and so on
ad1 + ad2 +ad3 + .... + ad(x) = 30x ------------------------------------------(1)
ad(x+1)+ad(x+2) ....... + ad(x+11)+ad(x+12) = 32*12
ad1+ad2+ad3+.................+ad(x+11)+ad(x+12) = 31x + 372 -------------------------(2)
(2) - (1)
ad(x+1) + ad(x+2) ....... + ad(x+11) + ad(x+12) = 31x + 372 - 30x = x + 372
==> x+372 = 384
==> x = 384 - 372 = 12
so total number of adults = 12
please approve if the answer is correct !!
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