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Relevant wiki: Setting Up Equations

We either have $2x + 3 = 67$ or $4x - 5 = 67$ ,
which gives, $x = 32$ or $x = 18$ .

If $x = 18$ , then $2x + 3 = 39$ and $4x - 5 = 67$ , but this means that the other number is smaller than 67, so $x=18$ is not a solution.

Thus, $x$ must be 32.
And so, $2x + 3 = 67$ and $4x - 5 = \boxed{123 }$ .

First let 2x+3 =67 we get x=32 and then when we equate 4x-5=67 we get x=31/2 so 2x+3=67 is correct so according to the question 67 is the smaller number . When we equate x=32 in 4x-5 we get the value as 123 so 123 is the larger number

given smaller no is 67 by seeing it's that the smaller is 2x+3 then 2x+3 =67 soving we get x +32 now put this x in 4x-5 then it's equal to 123.

There are two possibilities: $4x-5=67$ or $2x+3=67$ $\;$ If $4x-5=67$ => x=18 $and$ if $2x+3=67$ =>x=32. Hence $32>18$ ... we will choose $x=32$ so $4*32-5=128-5=123$ . $And\;the\; answer\; is \;123$

First, 2x + 3 = 67, second 4x - 5 = 67.
Then, it gives us x = 32 or x = 18
If x = 18, then 2x + 3 = 39 and 4x - 5 = 67. This is false, because the other number is smaller than 67.
Thus, x = 32 must be the solution.
Then check it one by one.
2 * 32 + 3 = 67 and
4 * 32 - 5 = 123
And the correct answer is 123.