Question

A two digit number is such that the product of its digit is 35. If 18 is added to the number the digits interchange their places. Find the number.

Class 10

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Answer 1

Plzz see 2nd answer.
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Answer 2

Hey!!!!

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Difficulty Level : Average

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Let the unit digit be x and ten's digit be y

Then ATQ,

=> xy = 35

=> x = 35/y --------(1)

Also

=> 10y + x + 18 = 10x + y

=> 9x - 9y = 18

=> x - y = 2

Substituting (1) in above equation

=> 35/y - y = 2

=> 35 - y² = 2y

=> y² + 2y - 35 = 0

=> y² + 7x - 5x - 35 = 0

=> y(y + 7) - 5(y + 7) = 0

=> (y - 5)(y + 7) = 0

Thus y = 5 or y = - 7(rejected)

Thus x = 7

Thus the original number is 50 + 7 = 57

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