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Twice the difference of a number and 16 is the same as three times a number less than 18

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8 votes

Answer:

Explanation:

Let x be the "number."

"twice the difference of a number and 16" can be written as:

2(x-16)

"is the same as three times a number less than 18" can be written as:

= 3(x<18)

I wonder if this was meant to say "is the same as three times a number less 18," instead of "less than 18." If so, we would have:

=3(x-18)

1. Using the sentence as written: 2(x-16) = 3(x<18)

2. Using the sentence as amended: 2(x-16) = =3(x-18)

Going with this interpretation:

2(x-16) = 3(x-18)

2x - 32 = 3x - 54

x = 22

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