Question

A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits interchange their places. Determine the number.

Answer 1

Answer:

26 is the required answer.

Step-by-step explanation:

Have a look at the solution in the attachment.

Thank you!

Answer 2

Step-by-step explanation:

Let number = 10x + y

according to question,

xy = 12 --------(1)

again,

10x + y + 36 = 10y + x

9x - 9y = 36

x - y = 4

x = 4 + y

put this in equation (1)

y( y + 4) = 12

y² + 4y -12= 0

hence, quadratic equation ,

is y² + 4y -12 = 0

solve this y = 6, but y ≠ -2

then , x = 2

so,number= 10×2 + 6 =26

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