Question

9. A number consists of two digits. The digit at the unit's place is 3 times the digit at the ten's place.
If 36 is added to the number, the digits are reversed. Find the number.

Answer 1

Answer:

26

Step-by-step explanation:

Let, the two digit number be 10x+y

Given, y=3x

According to question if 36 is added to 10x+y the digits are reversed

The reversed number is 10y+x

10x+y+36=10y+x

10y+x-10x-y=36

9y-9x=36

9(y-x)=36

y-x=4

3x-x=4

x=2

substitute x=2 in y=3x, then y=6

10x+y= 10x2 +6

= 26

Hence, required number is 26