Question

. In a two-digit number, the unit's digit is 1
more than twice the ten's digit. If the order of
the digit is reversed, the new number is 36
more than the given number. Find the
number.
​

Answer 1

Answer:

37

Step-by-step explanation:

Let the units digit be x and tens digit be y

According to the question, x = 1 + 2y

The original number (ON) will be 10y + x

The reversed NUMBER (RN) will be 10x + y

According to the question, ON + 36 = RN

Substitute ON and RN, 10y + x + 36 = 10x + y

10y - y + 36 = 10x - x

9y + 36 = 9x

Now, substitute x, 9y + 36 = 9(1 + 2y)

9y + 36 = 9 + 18y

36 - 9 = 18y - 9y

27 = 9y

27/9 = y

y = 3

Now that we've found y, let's find x

x = 1 + 2y

= 1 + 2(3)

= 1 + 6

= 7

Thus, the original no. will be 37 and the reversed no. will be 73

Check the answer 73 - 37 = 36

Hope this helped!