The sum of two numbers is 66. Two times the smaller number is 15 more than the larger number. What are the numbers? First one will be awraded

Larger number (y) is 39

Smaller number (x) = 66 - 39 = 27.

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

Sum of two numbers = 66

According to question,

x + y = 66

x = 66 - y ... (1)

Now, since twice of smaller number is 15 more than the larger number, According to question,

2 (smaller number) = larger number + 15

2x = y + 15 ... (2)

Now substituting the value of y from (1) in (2)

2 (66 - y) = y + 15

132 - 2y = y + 15

-2y - y = - 132 + 15

3y = 117

y = 117/3 = 39

So the largest number (y) is 39

Smaller number (x) = 66 - 39 = 27.