If (a+b) : (a-b) = 15 : 1, find the value of (a^2 + b^2... – Arithmetic

Arithmetichard · Past Paper

If (a+b) : (a-b) = 15 : 1, find the value of (a^2 + b^2) : (a^2 - b^2).

A113:120

B113:15

C113:112

D17:15

✓ Correct Answer: B — 113:15

(a+b)/(a-b)=15/1 => a/b = (15+1)/(15-1) = 16/14 = 8/7. (a^2+b^2)/(a^2-b^2) = (64+49)/(64-49) = 113/15.

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