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Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.1). 922). 293). 364). 63 |
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Answer» Let the number be xy x × y = 18----(1) ⇒ 10X + y + 63 = 10y + x ⇒ 9x + 63 = 9y x + 7 = y----(2) From (1) and (2) we get ⇒ x(x + 7) = 18 ⇒ x2 + 7X – 18 = 0 (x + 9)(x – 2) = 0 ⇒ x = 2 as it can’t be negative ⇒ 2Y = 18 ⇒ y = 9 The number is 29 |
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