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

Question

3 years ago

5

nd the numbers

1 answer:

Marrrta [24] · Answer 1 · 2021-12-06T08:45:04+03:00

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

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