suelencastilloozbbvd
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  • 28-03-2020
  • Mathematics
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Chloe is 5 years older than Leonel. Four years ago, eight times Leonel's age equals three times Chloe's age. What is Chloe's age now? How do you know?

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thistleBranch
thistleBranch thistleBranch
  • 28-03-2020

Let x = chloe's age.

Let y = Leonel's age.

To help solve this, construct a system of equations.

x = 5 + y.

8y = 3x.

We can solve this by substitution. Substitute 5 + y for x in the second equation.

8y = 3(5 + y). Distribute the 3.

8y = 15 + 3y. Subtract 3y from both sides.

5y = 15. Divide each side by 5.

y = 3. Plug this into one of our original equations.

x = 5 + 3. Add your numbers together.

x = 8

Chloe is 8 years old

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