The sum of two numbers is 20 and their difference is 6. Find the numbers A. 7 and 13 B. 8 and 12 C. 9 and 11 D. 6 and 14

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Hayden Dudley · Accepted Answer

Specify a and b as the number   a  +  b  =  20   a  −  b  =  6 adding we get   (  a  +  b  )  +  (  a  −  b  )  =  20  +  6   a  +  b  +  a  −  b  =  26                 [  x  +  (  y  +  z  )  =  x  +  y  +  z  ]   2  a  =  26   a  =  13 Subtracting we get   (  a  +  b  )  −  (  a  −  b  )  =  20  −  6   a  +  b  −  a  +  b  =  14                       [  x  −  (  y  −  z  )  =  x  −  y  +  z  ]   2  b  =  14   b  =  7 Therefore, the numbers are 7 and 13

The sum of two numbers is 20 and their difference is 6. Find the numbers...

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