If $(x+y) : (x-y) = 4:1$, then $(x^2+y^2) : (x^2-y^2)$ ... – Arithmetic

Arithmeticmedium · Past Paper

If $(x+y) : (x-y) = 4:1$, then $(x^2+y^2) : (x^2-y^2)$ is:

A17:8

B5:3

C16:1

D25:9

✓ Correct Answer: A — 17:8

(x+y)/(x-y) = 4/1 => x+y = 4x-4y => 5y = 3x => x/y = 5/3. Let x=5, y=3. (25+9)/(25-9) = 34/16 = 17/8.

Share this question