Question

12. A digit number contains the smaller of the two digits in the unit place. The product of
the digits is 40 and the difference between the digits is 3. Find the number​

Answer 1

Step-by-step explanation:

Let the two digit number will be first x and second is y 

The two digit number is 10x+y

xy=40

x=y40

x−y=3 --- (i)

y40−y=3

y2+3y−40=0

y2+8y−5y−40=0

y(y+8)−5(y+8)=0

y=5 as it cannot be −8

From (i)

x−5=3 ⟹ x=8

⟹ The two digit number is 10x+y=10(8)+5=85