Question

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

Answer 1

Answer:

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

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

According to 2nd equation

$x = 69 + y$

Putting the value of x in the first equation

$69 + y + y = 201 \\ \implies \: 69 + 2y = 201 \\ \implies \: 2y = 201 - 69 \\ \implies \: y = \frac{132}{2}$

$\implies \: y = 66$

We know that

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

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Answer 2

Answer:

135 and 66

Step-by-step explanation:

Solve the system of equations

Equation 1: x + y = 201

Equation 2: x - y = 69