Saxon prob: If a number is multiplied by 7 and this product

john deere

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If a number is multiplied by 7 and this product is increased by 42, the result is 87 greater than twice the opposite of the number. Find the number.
 
Re: saxon problem

Hello, john deere!

Exactly where is your difficulty?


Let \(\displaystyle x\) = the number.

\(\displaystyle \underbrace{\text{A number is multiplied by 7}}_{\downarrow}\;\text{and}\;\underbrace{\text{increased by 42}}_{\downarrow}\)
. . . . . . . . . . .\(\displaystyle \overbrace{7x}\) . . . . . . . . . . . . . . . . . . .\(\displaystyle \overbrace{+\;\;42}\)

\(\displaystyle \underbrace{\text{the result is}}_{\downarrow}\;\underbrace{\text{87 greater than}}_{\downarrow}\;\underbrace{\text{twice the opposite of the number}}_{\downarrow}\)
. . . . .\(\displaystyle =\) . . . . . . . . \(\displaystyle \overbrace{87\;\;\;+}\) . . . . . . . . . . . . . . . .\(\displaystyle \overbrace{2(-x)}\)


There is our equation! \(\displaystyle \:7x\,+\,42\;=\;87 \,-\,2x\)

 
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