Question

A two digit number is such that product of its digits is 30. If the digits are interchanged the
resulting number will exceed the previous by 9. What is the number?

Answer 1

THE ANSWER FOR YOUR QUESTION IS 56.

Answer 2

Step-by-step explanation:

let the digit at unit place be y

the digit at tens place be x

Number = 10x + y

a/q

x × y = 30

x = 30/y

Now,

If the digits are interchanged

then,

the digit at unit place = x

the digit at tens place = y

10the new number = 10 y + x

a/q

10x +y - (10y + x) = 9

=>10 x + y - 10y - x = 9

=> 9 x - 9 y = 9

=> 9(x- y) = 9

=> x - y = 1

now putting the value of x

30/y -y = 1

30 - y = y.

30 = y + y

30 = 2y

y = 15

Hence, Original number = 10 × 2 + 15 = 20 + 15 = 35