Express the following statement as a linear equation in two variables.
The sum of a two-digit number and the number obtained by reversing the order of its digits is 55.
Assume the digits in ones and tens place are ‘x’ and ‘y’ respectively.

x + y = 5

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55x + 55y = 11

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5x + 5y = 11

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11x + 11y = 5

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Solution

The correct option is A x + y = 5
Given the digits in ones and tens place are ‘x’ and ‘y’ respectively.

Original number = 10y + x
Number obtained by reversing the digits = 10x + y

Since the sum of the two numbers is given as 55,
$⟹$ 10y + x + 10x + y = 55
$⟹$ 11x + 11y = 55
$⟹$ x + y = 5

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A two digit number is such that the sum of itself and the number obtained when its digits are reversed is 55. Using the given data, write the simplest equation possible in two variables.

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Express the following statement as a linear equation in two variables. The sum of a two-digit number and the number obtained by reversing the order of its digits is 55. Assume the digits in ones and tens place are ‘x’ and ‘y’ respectively.

The correct option is A x + y = 5Given the digits in ones and tens place are ‘x’ and ‘y’ respectively. Original number = 10y + x Number obtained by reversing the digits = 10x + y Since the sum of the two numbers is given as 55, ⟹ 10y + x + 10x + y = 55 ⟹ 11x + 11y = 55 ⟹ x + y = 5

Express the following statement as a linear equation in two variables.
The sum of a two-digit number and the number obtained by reversing the order of its digits is 55.
Assume the digits in ones and tens place are ‘x’ and ‘y’ respectively.