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3 years ago

John is six years older than his sister Ella. Three times Ella’s age less two times John’s age is 13?

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

John is 31

Ella is 25

Step-by-step explanation:

Let sister's age be x, then John's age is (x + 6). So from sentence 2,

(3x) - 2(x + 6) = 13

3x - 2x - 12 = 13

x = 13 + 12 = 25

and x + 6 = 31

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Answer:

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substituting $m=-\frac{49}{39}$ and (-39,49) in the equation

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$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

$y-49=\frac{-49}{39}\left(x+39\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-49=-\frac{49}{39}\left(x+39\right)$

$\mathrm{Add\:}49\mathrm{\:to\:both\:sides}$

$y-49+49=-\frac{49}{39}\left(x+39\right)+49$

$y=-\frac{49}{39}x+0$ ∵ $y=mx+b$

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