Verified Answer :

naǫ

x - the larger number
y - the smaller number

The larger number is 8 less than twice the smaller number:
\(x=2y-8\)
So the larger number is 2y-8.

The sum of the two numbers is 94.
\(2y-8+y=94 \\ 2y+y=94+8 \\ 3y=102 \\ y=\frac{102}{3} \\ y=34\)
The smaller number is 34.

\(x=2y-8=2 \times 34-8=68-8=60\)
The larger number is 60.

ValyRemus

\(a+b=94\)

\(a>b\) ⇒ \(a=2b-8\)

\(\hbox{We will introduce this in the first, original equation} : 2b-8+b=94\)

\(3b=102\) ⇒ \(b= \frac{102}{3}\) ⇒ \(\boxed{b=34}\)

\(a=94-34\) ⇒ \(\boxed{a=60}\)

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