The sum of two numbers is 361 and the difference between the two number is 173 what are the two numbers

Mathematics

2 answers:

zepelin [54]3 years ago

6 0

Let one of the numbers be x and the other be y.

The sum of the two numbers is 361:
⇒ x + y = 361

The difference between the two number is 173:
⇒x - y = 173

To solve this, we will make x the subject in one equation and substitute it into the other equation.

equation 1: x + y = 361
equation 2: x - y = 173

From equation 1:
x + y = 361
x = 361 - y

Now that we make x the subject, we will substitute it into the equation 2:

x - y = 173
(361 - y) - y = 173
361 - y - y = 173
361 - 2y = 173
2y = 361 - 173
2y = 188
y = 94

Now that we know that y = 94, we substitute it into equation 1 to find the value of x.

x + y = 361
x + 94 = 361
x = 361 - 94
x = 267

-------------------------------------------------
The two numbers are 267 and 94.
-------------------------------------------------

melamori03 [73]3 years ago

5 0

The answer is attached

You might be interested in

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

MrRa [10]

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = $\sqrt[3]{27}$ = 3

6 0

3 years ago

In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

Alisiya [41]

Observe the figure below.

Statement Reason

1. AC and BD bisect each other Given

2. AE = EC and BE = ED Definition of bisection

3. $m \angle AEB = m \angle CED$ Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. $\Delta ABE \cong \Delta CDE$ SAS criterion for congruence

5. $m \angle ACD = m \angle CAB$ Corresponding angles of congruent triangles are congruent

6. $AB \parallel CD$ Converse of alternate interior angle theorem

7. $m \angle BEC = m \angle AED$ Vertical angle theorem

8. $\Delta BEC \cong \Delta DEA$ SAS criterion for congruence

9. $BC \parallel AD$ Converse of alternate interior angle theorem

As, $\Delta BEC \cong \Delta DEA$ , so $m \angle CBD = m \angle BDA$ as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".