Question

One number added to three times another number is 24. Five times the first number added to three times to other number is 36. Find the numbers

Answer 1

The numbers are 3 and 7

Step-by-step explanation:

Let the first number be x and the second number be y

Then according to given statement

One number added to three times another number is 24

x+3y=24     Eqn 1

Five times the first number added to three times to other number is 36

5x+3y=36      Eqn 2

Subtracting Equation 1 from equation 2

$5x+3y-(x+3y)=36-24\\5x+3y-x-3y=12\\4x=12$

Dividing both sides by 4

$\frac{4x}{4}=\frac{12}{4}\\x=3$

Putting x=3 in equation 1

$3+3y=24\\3y=24-3\\3y=21$

Dividing both sides by 3

$\frac{3y}{3} = \frac{21}{3}\\y=7$

Hence,

The numbers are 3 and 7

Keywords: Linear equations, Variables

Learn more about linear equations at:

• brainly.com/question/5059091
• brainly.com/question/5069437

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