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What is the sum of all two-digit positive integers that are increased by 75% when their digits are reversed?

please include an explanation because I am very confused. 

 Feb 23, 2019
 #1
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where do you all get these questions....

 

\((10a+b)\left(\dfrac 7 4 \right) = 10b+a,~a, b \in \mathbb{Z}^+\\ 70a+7b = 40b + 4a\\ 66a = 33b\\ 2a=b\\ 12+24+36+48 = 120\)

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 Feb 23, 2019

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