The larger of two numbers is 23 less than twice the smaller. If the sum of the two numbers is 70, how do you find the two numbers?

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Answer 1 · 2018-06-28T18:40:45

39, 31

Let $L$ $L$ & $S$ $S$ be the larger & smaller numbers respectively then

First condition:

$L = 2 S - 23$ $L=2S-23$

$L-2S=-23\ ..........(1)$

Second condition:

$L+S=70\ ........(2)$

Subtracting (1) from (2), we get

$L+S-(L-2S)=70-(-23)$

$3S=93$

$S=31$

setting $S=31$ in (1), we get

$L=2(31)-23=39$

Hence, the larger number is $39$ & smaller number is $31$