Solve (41.992 - 18.042) ÷ ? = 13.112 - 138.99
A. 48
B. 12
C. 72
D. 84
E. 128
Answer: Option A
Solution(By Examveda Team)
{(41.99)2 - (18.04)2} ÷ ? = (13.11)2 - 138.99⇒ {(42)2 - (18)2} ÷ ? = (13)2 - 139 {∵ a2 - b2 = (a + b) (a - b)}
⇒ {(42 + 18) (42 - 18)} ÷ ? = 169 - 139
⇒ 60 × 24 ÷ ? = 30
⇒ ? = $$\frac{60 × 24}{30}$$
⇒ ? = 48
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