All categories

3 years ago

The sum of two numbers is 842. The difference is 314. Find the numbers.

Mathematics

1 answer:

Readme [11.4K]3 years ago

4 0

Let's call the two numbers x and y.

We know that x+y = 842 and that x-y = 314

Now that we have two equations, we can solve using substitution by solving for one variable in one of the equations, and plugging that in for the same variable in the other equation.

Lets solve for x in the second equation to get:

x = 314 + y

Now plug in 314+y for x in the first equation:

(314 + y) + y = 842

Combine like terms:

314 + 2y = 842

Now solve for y:

2y = 842-314

2y = 528

y = 264

Finally, plug 264 in for y to solve for x:

x + 264 = 842

x = 842-264

x = 578

The two numbers are 578 and 264.

You might be interested in

What is the answer to<br> 7n + 3 = 3n + 27

timama [110]

$7n+3=3n+27 \\\\ 7n-3n=27-3 \\\\ 4n=24 \\\\ \boxed{n=\frac{24}{4}=6}$

8 0

3 years ago

Read 2 more answers

Tom gets $12 off a box of chocolates original price is $48 what is the % discount

Sliva [168]

Answer:

original price is 48 dollars which is 100% cost. we know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Step-by-step explanation:

3 0

3 years ago

Which input in this table is incorrect?

Elenna [48]

Answer:

A) 10.00

Step-by-step explanation:

10.00 x 0.8 is equal to 8 giving a total of 18.00. But it is incorrectly done in the table.

6 0

2 years ago

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that

tankabanditka [31]

Answer:

1442

Step-by-step explanation:

Given,

Mean is,

$\mu = 20.4$

Standard deviation,

$\sigma = 8.8$ ,

Margin of error(E) = 0.54,

For 98% level of confidence, $z_{\frac{\alpha}{2}} = 2.33$

Thus, the sample size would be,

$n=[\frac{z_{\frac{\alpha}{2}}\times \sigma}{E}]^2$

$=[\frac{2.33\times 8.8}{0.54}]^2$

$=1441.74902606$

$\approx 1442$

6 0

3 years ago

Find the missing factor.<br> 8x^2 - 15x + 7 = (8x - 7)( )

Leokris [45]

Answer:

Step-by-step explanation:

(8x - 7)(

The x^2 term has to come out to 8x^2.

The 8 is already there.

So your first term in the second factor is x.

(8x - 7) ( x

Now the question is what is the sign after the x. Since the question shows +7 the only way that can happen is if both signs in the factors are the same.

Since (8x - 7) has been given to you and you need 7 to come out plus, then the sign after x must minus. Both signs must be the same.

(8x - 7)(x -

Last, what comes after the minus sign? You already have a minus 7 so you need something to multiply by 7 to get seven.

That should be a one.

(8x - 7)(x - 1)

x - 1 is you answer. I leave you to check the middle term. It is - 15

6 0

3 years ago