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The product of two number is 14 times the difference of these two numbers. If the sum of these number is 45, the smaller number is.1). 92). 83). 74). 10 |
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Answer» Given, Let two numbers be a and b respectively. Given, ⇒ a × b = 14(a – b) ⇒ ab = 14a – 14B ⇒ a(14 – b) = 14b ⇒ a = 14b/(14 – b) Then, ⇒ a + b = 45 ⇒ {14b/(14 – b)} + b = 45 ⇒ 14b + 14b – b2 = 630 – 45b ⇒ b2 – 73b + 630 = 0 ⇒ (b – 63)/(b – 10) = 0 b = 63 or b = 10 then, If b = 63 then a = -18 If b = 10 then a = 35 ∴ SMALLEST NUMBER is 10. |
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