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The sum of the digits of a two-digit number is 10, while when the digits are reversed, the number decreases by 54. Find the changed number.

Option 1)
$28$
Option 2)
$45$
Option 3)
$37$
Option 4)
$46$
Option 5)
$19$

Answers (1)

R rishi.raj

$x+y=10..........(1)$

$Acc. \: To\: question$

$(10x+y)-(10y+x)=54$

$x-y=6.........(2)$

$by \: adding\: 1 \: or \: 2$

$x=8 y=2$

$changed \: number=28$

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