Question

I Am Less Than 50 but more than 20. The Sum and product of my two digits are the same.Which number am I​

Answer 1

Answer:

Let x & y represent the 2 digits

x + y = xy

y = xy - x

y = x(y-1)

x = y/(y-1)

If y=1, x is undifined

y=2, x = 2 (the only solution)

y=3, x = 6

y=4, x = 12

The number is 22

Answer 2

Answer:

Let x & y represent the 2 digits

x + y = xy

y = xy - x

y = x(y-1)

x = y/(y-1)

If y=1, x is undifined

y=2, x = 2 (the only solution)

y=3, x = 6

y=4, x = 12

The number is 22