The sum of two numbers is 235, and the difference of the same two numbers is 41. Find these numbers.

Guest Nov 7, 2021

#1**+1 **

a+b = 235

a-b =41 Add the equations together then solve for 'a' then use this answer to solve for 'b'

Guest Nov 7, 2021

#2**+2 **

Hello Guest,

The sum of two numbers is 235, and the difference of the same two numbers is 41. Find these numbers.

\(a+b=235\)

\(a-b=41\)

\(\mbox {You can change the variables by the first equation.}\)

\(b+a=235\)

\(a-b=41\)

\(b+a=235\)

\(-b+a=41\)

\(\mbox {Subtract a from the first equation.}\)

\(b=-a+235\)

\(-b+a=41\)

\(\mbox {Substitute } b=-a+235 \mbox { in the second equation.}\)

\(b=-a+235\)

\(2a-235=41\)

\(\mbox {Add } 235 \mbox { by } 41\)

\(b=-a+235\)

\(2a=276\)

\(\mbox {Solve for a}\)

\(b=-a+235\)

\(a=138\)

\(\mbox {Substitute } a \mbox { into the first equation. }\)

\(b=97\)

\(a=138\)

\(\mbox {This equation was solved with the variables a and b having the values } (a,b)=(138,97) \mbox { . }\)

Straight

Straight Nov 9, 2021