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fgiga [73]
3 years ago
9

the larger of two numbers is 10 less than twice the smaller number.if the sum of the two numbers is 38 ,find the two answers.

Mathematics
1 answer:
denpristay [2]3 years ago
5 0
Assume that the larger number is m and the smaller one is n.
the larger is 10 less than twice the smaller, this means that:
m = 2n-10
the sum of the two is 38, this means that:
m+n = 38
substitute by the first equation in the second one:
2n-10+n=38
3n=48
n= 16
substitute by n in the first equation:
m=2n-10=2(16)-10= 22

based on this,
the larger number is 22 while the smaller number is 16
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