Question

The tens and unit digits of a number are the same. By adding the number to its reverse, you get the sum 110. Calculate the number.​

Answer 1

Answer:

The number is 55.

Step-by-step explanation:

Given that,

• The tens and ones digit of a number is same.
• If we add the number by reversing the digit we get 110.

Here, the ones and the tens digit is same of a number and also, if we reverse the digits and add them it results 110.

If we assume :

→ Ones digit = "x"

→ Tens digit = "y"

The number goes like this :

→ 10(y) + 1(x)

→ 10y + x

Reversing the digits we get :

→ 10x + y

★ According to the question :

→ (10y + x) + (10x + y) = 110

→ 10y + x + 10x + y = 110

[∵x = y ]

→ 10x + x + 10x + x = 110

→ 11x + 11x = 110

→ 22x = 110

→ x = 110/22

→ x = 5

Therefore the value of "x" is 5

Hence,

The digits are = 5

And also the number is :

→ 55