Question

The sum of two numbers is 201 and their difference is 69. Find the
numbers.

Answer 1

135 and 66

Explanation:

Solve the system of equations

Equation 1: x + y = 201

Equation 2: x - y = 69

Answer 2

`let \: the \: numbers \: be \: x \: and \: y \\ then \\`

`x + y = 201(equation \: 1) \\ x - y = 69(equation \: 2)`

According to 2nd equation

`x = 69 + y`

Putting the value of x in the first equation

`69 + y + y = 201 \\ \implies \: 69 + 2y = 201 \\ \implies \: 2y = 201 - 69 \\ \implies \: y = (132)/(2)`

`\implies \: y = 66`

We know that

`x = y + 69 \\ \implies \: x = 66 + 69 \\ \implies \: x = 135`

If you have any doubts you can comment and ask