santhoshp2910 santhoshp2910

24-03-2017
Mathematics

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a two digit number is such that the product of its digits is 35. when 18 is added to the number the digits interchange their places. find the number

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24-03-2017

x * y = 35
y * 10 + x + 18 = x * 10 + y

9 * y - 9 * x + 18 = 0

y = 35 / x

9 * 35 / x - 9 * x + 18 = 0

-9x² + 18x + 315 = 0

x = 7
y = 5

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