Question

The sum of two numbers is 179. Their difference is 133. Find both numbers.

Answer 1

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer 2

Answer:

156 and 23

Step-by-step explanation:

• We can use system of equations to solve this problem.

Step 1: Set up the system of equations.

• $\left \{ {{x+y=179} \atop {x-y=133}} \right.$

Step 2: Solve x + y = 179 for x.

• $x + y = 179$
• $x + y - y = 179 - y$ (Subtract y from both sides)
• $x = -y + 179$

Step 3: Substitute -y + 179 for x in x - y = 133.

• $x-y=133$
• $-y+179-y=133$
• $(-y-y)+(179)=133$ (Combine like terms)
• $-2y + 179 = 133$
• $-2y + 179 - 179 = 133 - 179$ (Subtract 179 from both sides)
• $-2y = -46$

• $\frac{-2y}{-2} = \frac{-46}{-2}$ (Divide both sides by -2)
• $y = 23$

Step 4: Substitute 23 for y in x = -y + 179

• $x = -23 + 179$
• $x = 156$

Therefore, the numbers are 156 and 23.