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In a two-digit number, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

Option 1)
$24$
Option 2)
$26$
Option 3)
$46$
Option 4)
$42$
Option 5)
$48$

Answers (1)

R rishi raj

$number= 10x+y$

$y-x=2..............a$

$(10x+y)(x+y)=144............b$

$Solving\: a\: and\: b$

$X=2, y=4$

$Number= 24$

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