Question

A 2-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of digits of the number is

Answer 1

Answer:

Step-by-step explanation:

2 digit no.=10y+x

If digits are interchanged =10x+y

You can check the ans by this logic

27+ 45=72

Second Condition

Answer 2

Answer:

Let the 2 digit number be 10x+y

According to question:

10x+y=3 (x+y) 1st equation.

45+10x+y=10y+x 2nd equation.

On simplification of 1st equation we get:

7x=2y and the second equation

45+9x=9y

On solving 1 and 2 we get

Y=7.

Substitute in equation 1

We get x=2

Hence sum of digits of the number =27.

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