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CUET
General Test
Quantitative Reasoning
Algebra
If a + b = 24 where a > b
a2 + b2 = 306
Find 4a - 5b
30
45
20
15
Formula → (a + b)2 = a2 + b2 + 2ab
576 = 306 + 2ab
ab = 135
ab = 15 × 9
a = 15
b = 9
Now; we have to find 4a - 5b
4 × 15 - 5 × 9 = 15