Question

The sum of two numbers is 18 less than twice the first number. their difference is 32 less than twice the second number. find each of the numbers

Answer 1

Let the two numbers be x and y
(x+y)-18=2x
x+y-18=2x
x+y-2x=18
-x+y=18_______(1)

(x-y) -32=2y
x-y-32=2y
x-y-2y=32
x-3y=32_______(2)

from eqn (1) y=18+x____(3)
substitute eqn (3) into eqn(2)
x-3{18+x} = 32
x-54-3x=32
-2x=32+54
-2x = 86
x= -43

sub x=-43 into eqn (3)
y=18+(-43) = 18-43 = -25