Question

A number consists of two digits whose product is 18 when. 27 is subtracted from the number, the digits change places. find the number

Answer 1

Let's say the digits of numbers are x,y

Where x is at tens place and y is unit digit

Number = 10x + y

Reverse of this number will be 10y + x

According to the question

10x + y +27 = 10y + x

9x + 27 = 9y

9 (x + 3) = 9y

x + 3 = y

Also x*y = 18

x*(x+3) = 18

The value of x that satisfies this equation is 3

Therefore x = 3, y = x + 3 = 6

Number = 10x + y

= 30+6 = 36 (Ans)

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