One number is 6 more than another. Twice the larger number is 5 times the smaller .
1 answer:
<h2>
Rewriting Words as Numbers</h2>
To translate a word problem into an equation/equation, we much recognize and change key words into operations or numbers.
- <em>a number/the number/one number </em>= x (and/or y)
- <em>_ more</em> = add that amount
- <em>twice</em> = multiply by 2
<h2>Solving the Question</h2>
We're given:
- One number is 6 more than another number
- Twice the larger number is 5 times the smaller
Let the first number equal <em>x</em> and let the second equal <em>y</em>.
Translate the sentences into equations:
- One number is 6 more than another number
⇒ - Twice the larger number is 5 times the smaller
- ⇒
Use substitution to solve for <em>y</em>:
<h2>Answer</h2>
The smaller number is 4.
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