# SOLUTION: what two whole numbers when added together the sum is 123,when i subtract the lesser number from the greater number the difference is 45 ?

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 Question 18209: what two whole numbers when added together the sum is 123,when i subtract the lesser number from the greater number the difference is 45 ?Answer by josmiceli(9697)   (Show Source): You can put this solution on YOUR website!A and B are the whole numbers A + B = 123 A - B = 45 -A = -A subtract a from both sides -B = 45 -A B = A -45 multiply both sides by -1 A + (A-45) = 123 substitution 2A -45 = 123 add 45 to both sides 2A = 168 divided both sides by 2 A = 84 84 - B = 45 substitution -B = -39 subtract 84 from both sides B = 39 multiply both sides by -1 A= 84, B=39 84 + 39 = 123 check answers 84 - 39 = 45