A two digit number is 3 more than 4 times the sum of its digits . If 18 is added to the number, its digit are reversed . find the number
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Answer:
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Solution
Solution
SolutionVerified by Toppr
SolutionVerified by TopprLet the tens and unit digit of number are x,y
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x⇒x−y=−2
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x⇒x−y=−2Subtract resultant equations ;
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x⇒x−y=−2Subtract resultant equations ;⇒x=3
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x⇒x−y=−2Subtract resultant equations ;⇒x=3⇒y=5
SolutionVerified by TopprLet the tens and unit digit of number are x,yFirst condition :⇒10x+y=3+4(x+y)⇒6x−3y=3⇒2x−y=1Second condition :⇒10x+y+18=10y+x⇒x−y=−2Subtract resultant equations ;⇒x=3⇒y=5∴two digit number =35