Question

In a two digit number. The units digit is thrice the tens digit. If 36 is added to the number, the digits interchange their place. Find the number.​

Answer 1

⠀⠀⠀ ՏϴᏞႮͲᏆϴΝ

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• Let the digit in the units place is x.
• And the digit in the tens place be y.

Then x = 3y and the number = 10y + x

The number obtained by reversing the digits is 10x + y.

If 36 is added to the number, digits interchange their places,

Therefore, We have:

• 10y + x + 36 = 10x + y

➠ 10y – y + x + 36 = 10x + y - y

➠ 9y + x – 10x + 36 = 10x - 10x

➠ 9y - 9x + 36 = 0 or, 9x - 9y = 36

➠ 9(x - y) = 36

➠ 9(x - y)/9 = 36/9

➠ x - y = 4 ………. (i)

Substituting the value of x = 3y in equation (i),

We get:

3y - y = 4

➠ 2y = 4

➠ y = 4/2

➠ y = 2

Substituting the value of y = 2 in equation (i),

We get:

x - 2 = 4

➠ x = 4 + 2

➠ x = 6

• Hence, the number becomes 26.

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Answer 2

Answer:

Step-by-step explanation: