Question

4. In a two digit number if x is in units place and y is in tens place then the
number formed is.........​

Answer 1

Answer:

The number will be 10y + x

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Answer 2

Answer:

ՏϴᏞႮͲᏆϴΝ

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.

Step-by-step explanation: