Question

The ratio of the tens digit to the unit of a two digit number is 1:2 if 18 is added to the number the digit interchange places. find the number​

Answer 1

Answer:

the number is 15

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Answer 2

Answer:

Ratio of the two digits = 1:2

Define the number:

Let the digit in the units place be x

And the digit in the tens place be y

→ The number is 10y + x

Form equation (1):

Ratio of the two digits = 1:2 ⇒ x = 2y

Form equation (2):

18 is added to the number the digits,

interchange their places

→ 10y + x + 18 = 10x + y

→ 9y + 18 = 9x

⇒y + 2 = x =>

⇒ x = y + 2

Solve x and y:

x = 2y--- (1)

X-y + 2 {2}

Equation (1) and (2):

2y = y + 2

y = 2

x = 2y (1)

x = 2(2) = 4

Find the number:

Number = 10y + x = 10(2) + 4 = 24

Answer: The number is 24

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