If x - y = 7 and xy = 60, then what is the value of x² + y²?
Show answer & explanation
Correct answer: A
Explanation
Given:
x − y = 7
xy = 60
By the formula:
x² + y² = (x − y)² + 2xy
(x − y)² = 7 × 7 = 49
2xy = 2 × 60 = 120
x² + y² = 49 + 120 = 169
SSC CHSL - 27 Nov 2025 - Shift 2 • Quantitative Aptitude • Q66
If x - y = 7 and xy = 60, then what is the value of x² + y²?
Correct answer: A
Explanation
Given:
x − y = 7
xy = 60
By the formula:
x² + y² = (x − y)² + 2xy
(x − y)² = 7 × 7 = 49
2xy = 2 × 60 = 120
x² + y² = 49 + 120 = 169