The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

x = 3y + 15 y = y

New equation is:

3y + 15 + y = 63

Combine like variables:

4y + 15 = 63

Solve:

4y + 15 - 15 = 63 - 15 4y = 48

Divide 4 from each side:

y = 12

To find x fill in the variables from the 'x = ' equation:

x = 3y + 15 x = 3 (12) + 15 x = 51