Question

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

Answer 1

X = 51

Y = 12

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