Problema Solution

One number is 7 more than another. Twice the smaller added to the larger is -20. Find the smaller number.

Answer provided by our tutors

let 'x' and 'y' be the numbers and x be the smaller that is x < y


one number is 7 more than another


y = x + 7


twice the smaller added to the larger is -20


2x + y = - 20


by solving the system of equations


y = x + 7

2x + y = - 20


we find


x = - 9


y = -2


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the smaller number is -9.