25-04-2016
Mathematics

Answered

Find two consecutive integers such that the sum of twice the larger number and three times the smaller number is 242?

Verified Answer :

25-04-2016

let x be the smaller number and y be the larger one
so x + 1 = y
242 = 2y + 3x
use substitution to solve for one of the variables
242 = 2(x + 1) + 3x
242 = 2x + 2 + 3x
240 = 5x
48 = x

the numbers are 48 and 49

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