Explanation

The sum of two numbers is 1626 .
Let, one number is ‘x’
And another number is ‘y’
In 1 ^st case,
x+y=1626
\rightarrow x=\left(1626-y\right)
In 2 ^nd case,
x=2y
Now,
\left(1626-y\right)=2y
\rightarrow-y-2y=-1626 _{[interchange]}
\rightarrow -3y=-1626
\rightarrow y=\large\frac{-1626}{-3}
\therefore y=542
So that, x=\left(2\times542\right) _{[from 2nd case]}
\rightarrow x=1084
\therefore One number is 1084 and other number is 542 .
Ans: The numbers are 1084 & 542.

Other ways to ask this same question are:

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