Find all 4 digit numbers $\overline{abc}$ such :
$a+b+c= 23,\overline{cda}-\overline{abc}= 297$
and $a\neq 0$
find!
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Souvik saha
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Re: find!
we have $99(c-a)=297$
so $c-a=3$
$2a+b=20$
$b$ is even and at most $8, b$ cannot be $0$
$689$ is the only one, since is $b$ is less than $8$,then $c>9$
so $c-a=3$
$2a+b=20$
$b$ is even and at most $8, b$ cannot be $0$
$689$ is the only one, since is $b$ is less than $8$,then $c>9$
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