All categories

4 years ago

The sum of two numbers is nine. one number is three more than the other. find the numbers

Mathematics

2 answers:

zaharov [31]4 years ago

5 0

Let the two numbers be x and y.
x+y= 9
x-3=y
Substitute the two equations together
x+x-3=9
2X=12
X=6.
Y= 6-3=3

Mashutka [201]4 years ago

3 0

The required numbers are 6 and 3

Solution: Assume the required numbers are a and b,

Given that the sum of two numbers is nine that is, $a+b=9\rightarrow(1)$

One number is three more than the other that is, $a=b+3\rightarrow(2)$

On substituting (2) in (1) we get,

$\Rightarrow b+3+b=9\rightarrow 2b+3=9$

On grouping the similar terms we get,

$\Rightarrow 2b=9-3 \rightarrow 2b=6 \rightarrow$

$\Rightarrow b=\frac{6}{2}\rightarrow b=3 \rightarrow (3)$

On substituting (3) in (1) we get,

$a+3=9\rightarrow a=9-3\rightarrow a=6$

Therefore, the number are 6 and 3.

You might be interested in

Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s

nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

$E = P*I*t = P*0.02*1 = 0.02P$

The total amount at the end of the first year is:

$T = E + P = 0.02P + P = 1.02P$

Second year:

We have that:

$P = 1.02P$

The interest earned is of:

$E = P*I*t = 1.02P*0.01*1 = 0.0102P$

The total amount is:

$T = E + P = 0.0102P + 1.02P = 1.0302P$

After two years, the investment is worth £8653.68 How much did Briony invest?

$1.0302P = 8653.68$

$P = \frac{8653.68}{1.0302}$

$P = 8400$

Brionny invested £8400.

3 0

3 years ago

A survey of the readers of three daily news papers; Nation, standard and Kenya times showed the following results. i) A total of

daser333 [38]

N(N ∩ S ∩ K) = 10
n(ξ) = 250
n(S ∪ K) = 15 - 10 = 5
n(N ∪ S) = 20 - 10 = 10
n(N ∪ K) = 30 - 10 = 20
n(S) = 50 - 10 - 5 - 10 = 25
n(K) = 55 - 20 - 5 - 10 = 20
n(N) = 100 - 10 - 20 - 10 = 60

n(N ∪ S ∪ K) = 10 + 5 + 10 + 20 + 25 + 20 + 60 = 150

Therefore, n(N ∪ S ∪ K)' = 250 - 150 = 100

Therefore, 100 million people do not read any of the three papers.

7 0

3 years ago

A concert hall has seven sections. Each section has twenty-three rows. Each row has fourteen seats. If the theater sells out for

gayaneshka [121]

If the theater sells out, 2254 people would have attended. With each ticket being 20 dollars, $45,080 would have been collected at the box office

7 0

3 years ago

A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the

8090 [49]

We have that
We will analyze each case to verify the answer
see the attached figure

Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution
Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution
Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution
Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution

the answer is
the solutions are
8 cans and 120 bottles
9 cans and 70 bottles

6 0

3 years ago

30 POINTS FOR BRAINLIEST ANSWER!!!!!!!

skad [1K]

I think b not sure it’s the only one that makes sense

6 0

3 years ago