Question

If a: b = 3: 2 and a - b = 5, (a2 + b2) = how much?​

Answer 1

Answer:

325 is the answer , refer to image

Answer 2

Answer:

$a \div b = 3 \div 2 \\ a = 3k \\b = 2k \\ a - b = 5 \\ 3k - 2k = 5 \\ k = 5 \\ a = 3k = 3 \times 5 = 15 \\ b = 2k \\ = 2 \times 5 = 10 \\ a {}^{2} + b {}^{2} =( a + b ) {}^{2} - 2ab \\ = (15 + 10) {}^{2} - 2 \times 15 \times 10 \\ = 625 - 300 \\ = 325$

it's right answer