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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' |
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Answer» - The sum of a two DIGIT number obtained by reversing the order of its DIGITS is 121.Digits in UNIT's = xDigits 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+xAccording 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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