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3 years ago

The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

The smaller number is 7 and the greater number is 11.

Step-by-step explanation:

Let,

x be the smaller number

y be the greater number

According to given statement;

x+y=18 Eqn 1

y+2x=25 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(y+2x)-(x+y)=25-18\\y+2x-x-y=7\\x=7$

Putting x=7 in Eqn 1

$7+y=18\\y=18-7\\y=11$

The smaller number is 7 and the greater number is 11.

Keywords: numbers, linear equation

Learn more about linear equations at:

#LearnwithBrainly

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Elena L [17]

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Answer is 12.

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4 years ago

Dr. Burger rides his bike to work in the mornings. Usually, he leaves his house at 8:20 and gets to the office at 9:00 riding at

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P.S. He is going to surely be late.

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3 years ago

What is the product of 7.951x 1.314

gladu [14]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Help please!!!!!!!!!

In-s [12.5K]

ANSWER

EXPLANATION

For a matrix A of order n×n, the cofactor $C_{ij}$ of element $a_{ij}$ is defined to be

$C_{ij} = (-1)^{i+j} M_{ij}$

$M_{ij}$ is the minor of element $a_{ij}$ equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.

Here, we have

$C_{11} = (-1)^{1+1} M_{11} = M_{11}$

M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \end{aligned}$

Since the determinant of a 2×2 matrix is

$\det\left( \begin{bmatrix} a & b \\ c& d \end{bmatrix} \right) = ad-bc$

it follows that

so $C_{11} = M_{11} = 24$

4 0

3 years ago

Solve for x.<br><br> Help please

MAVERICK [17]

X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)

4 0

3 years ago