1.

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

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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