Problema Solution

1. find two consecutive odd integers whose sum is 44.

2. two-thirds of a certain number is 20 more than one-fourth of the number. what is the number?

Answer provided by our tutors

1. find two consecutive odd integers whose sum is 44.


let the two consecutive odd integers be: 2x - 1, 2x + 1, where x is integer


(2x - 1) + (2x + 1) = 44


by solving we find


x = 11


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2*11 - 1 = 21


2*11 + 1 = 23


the two numbers are 21 and 23.


2. two-thirds of a certain number is 20 more than one-fourth of the number. what is the number?


let 'x' be the number


(2/3)x = 20 + (1/4)x


by solving we find


x = 48


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the number is 48.