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

Sagot :

semsee45

Answer:

The first number is 3

The second number is 7

Step-by-step explanation:

Let x = the first number

Let y = the second (other) number

One number added to three times another number is 24:

x + 3y = 24

Make 3y the subject by subtracting x from both sides:  3y = 24 - x

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

5x + 3y = 36

Substitute  3y = 24 - x  into  5x + 3y = 36  and solve for x:

5x + (24 - x) = 36

5x + 24 - x = 36

Combine like terms:  4x + 24 = 36

Subtract 24 from both sides:  4x = 12

Divide both sides by 4:  x = 3

Substitute found value of x into x + 3y = 24 to find y:

3 + 3y = 24

Subtract 3 from both sides:  3y = 21

Divide both sides by 3:  y = 7

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