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Alekssandra [29.7K]
4 years ago
10

A number is three times another number. The difference of these two numbers is 10. Find these number.​

Mathematics
2 answers:
Katyanochek1 [597]4 years ago
5 0

Answer:

\Large \boxed{\sf 15 \ and \ 5}

Step-by-step explanation:

Let the first number be x.

Let the second number be y.

x is 3 times y.

Difference of x and y is 10.

x=3y

x-y=10

Put x as 3y in the second equation.

3y-y=10

Combine like terms.

2y=10

Divide both sides by 2.

y=5

Plug y as 5 in the first equation.

x=3(5)

Multiply.

x=15

The two numbers are 15 and 5.

kow [346]4 years ago
3 0

Answer:

5,15

Step-by-step explanation:

let the numbers be x and y

but y = 3x

3x - x = 10

2x = 10

x = 5

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Step-by-step explanation:

\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\

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Step-by-step explanation:

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