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 Add the equations together then solve for 'a' then use this answer to solve for 'b'
+678 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
