Try Solving at least 5 mins, if found comment and compare answer with that given in Description

We are given a system of three equations and need to find the value of X × Y + Z.

Here are the equations:

X + Y + Z = 150

X + Y – Z = 50

X – Y + Z = 80

Step 1: Add equations (1) and (2)

(X + Y + Z) + (X + Y – Z) = 150 + 50
→ 2X + 2Y = 200
→ X + Y = 100 — (4)

Step 2: Subtract equation (2) from (1)

(X + Y + Z) – (X + Y – Z) = 150 – 50
→ 2Z = 100
→ Z = 50 — (5)

Step 3: Use equation (3) and (5)

X – Y + Z = 80
→ X – Y + 50 = 80
→ X – Y = 30 — (6)

Step 4: Solve equations (4) and (6)

From (4) and (6):
X + Y = 100
X – Y = 30

Add them:
2X = 130 → X = 65
Plug back: Y = 35

Final Step: Find X × Y + Z

X × Y + Z = 65 × 35 + 50 = 2275 + 50 = 2325

Answer: 2325

Видео Try Solving at least 5 mins, if found comment and compare answer with that given in Description канала RiddlePuzzleOfficial