SOLUTION: Find two consecutive whole numbers such that the smaller subtracted from five times the larger equals 57

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Question 158534This question is from textbook Elementary and Intermediate Algebraa
: Find two consecutive whole numbers such that the smaller subtracted from five times the larger equals 57
 This question is from textbook Elementary and Intermediate Algebraa

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller number
x%2B1= bigger number
consecutive whole numberssystem%28x%2Cx%2B1%29
Then,
5%28x%2B1%29-x=57 -----------> condition: smaller subtracted from 5 times the bigger.
5x%2B5-x=57
4x=57-5=52
cross%284%29x%2Fcross%284%29=cross%2852%2913%2Fcross%284%29
x=13 ----------------------> smaller number
13%2B1=14 -------------------> bigger number
In doubt? go back to the condition,
5%2814%29-13=57
70-13=57
57=57
thank you,
Jojo