Question

Four times the sum of the digits of a 2-digit number is equal to the number itself. The digit in the units place is 2.
Find the number.

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Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Four times the sum of the digits of a 2-digit number is equal to the number itself.

The digit in the units place is 2.

Number = 10x + y

To Find :-

The Number

Solution :-

Let units digit place be x.

And the tens digit place be y.

According to the Question,

⇒ 4 (x + y) = 10x + y

⇒ 4x + 4y = 10x+ y

⇒ 4x - 10x = y - 4y

⇒ - 6x = - 3y

⇒ 2x = y .....(1)

Putting Eq (1), we get

⇒ x = 1 and y = 2

Number = 10x + y = 10(1) + 2 = 12

Hence, the number is 12.