Question

expreas the following statements as a linear equation in 2 variables.
The sum of a two digit number obtained by reversing the order of its digits is 121.If the digits in unit's and ten's place are 'x' and 'y'​

Answer 1

★Given:-

• The sum of a two digit number obtained by reversing the order of its digits is 121.
• Digits in unit's = x
• Digits in ten's place = y

★To find:-

• Linear equation representing the above statement.

★Solution:-

Given,

• Unit's digit = x
• Ten's digit = y

Let,

• The two digit number = 10x+y
• Number obtained by reversing the digits = 10y+x

According to the question,

Sum of a two digit number obtained by reversing the order of its digits is 121.Therefore,

➺(10x+y)+(10y+x) = 121

➺10x+y+10y+x = 121

➺11y + 11x = 121

➺11(y+x) = 121

➺(x+y) = 121/11

➺x + y = 11

Hence,

The required linear equation is x+y=11.

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