If X + Y = 20 and XY = 120, what is the value of (X)² + (Y)²?
Show answer & explanation
Correct answer: A
Explanation
X + Y = 20, XY = 120
According to the formula:
X² + Y² = (X + Y)² − 2XY
= 20² − 2×120
= 400 − 240 = 160
SSC CPO - 11 Dec 2025 - Shift 1 • Quantitative Aptitude • Q120
If X + Y = 20 and XY = 120, what is the value of (X)² + (Y)²?
Correct answer: A
Explanation
X + Y = 20, XY = 120
According to the formula:
X² + Y² = (X + Y)² − 2XY
= 20² − 2×120
= 400 − 240 = 160