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3 years ago

The sum of two numbers is 31.5. The difference is 5.25. Find the numbers

2 answers:

8 0

X+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 18.375-13.125=5.25
so
Answer:
18.375 and 13.125

Gwar [14]3 years ago

3 0

Answer:

The two numbers are 18.375 and 13.125

Step-by-step explanation:

Given that the sum of two numbers is 31.5 and their difference is 5.25

we have to find the two numbers.

Let the two numbers are x and y.

As sum of two numbers is 31.5 and difference is 5.25

∴ $x+y=31.5$ → (1)

$x-y=5.25$ → (2)

Adding eq (1) and (2), we get

$2x=31.5+5.25=36.75$

$x=\frac{36.75}{2}=18.375$

(2) ⇒ 18.375-y=5.25 ⇒ y=13.125

Hence, the two numbers are 18.375 and 13.125

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EXPLANATION :

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3 years ago

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18% how many

Artemon [7]

The company will have a total number of 531 employees

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2 years ago

At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years

Mashutka [201]

<u>ANSWER: </u>

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

<u>SOLUTION: </u>

Given,

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,

When interest is compound Annually:

$Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

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3 years ago

Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?

Korolek [52]

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4) full

Change = (5/8 - 2/8) full

Change = (5 - 2)/8 full

Change = 3/8 full

So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

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3 years ago

Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ

Vinil7 [7]

Answer:

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To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

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3 years ago