# The sum of two numbers is 63. If the larger number is 15 more than the other, what are the two numbers? Let u be the larger number and y be the smaller number

The sum of two numbers is 63. If the larger number is 15 more than the other, what are the two numbers? Let u be the larger number and y be the smaller number.
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Annie Wells
let larger number is x
smaller number is y
Given
$x+y=63\phantom{\rule{0ex}{0ex}}x=y+15\phantom{\rule{0ex}{0ex}}x-y=15$
$x+y+x-y=63+15\phantom{\rule{0ex}{0ex}}2x=78\phantom{\rule{0ex}{0ex}}x=39$
So from equation:
$y=63-39\phantom{\rule{0ex}{0ex}}y=24$