Question

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

Answer 1

Larger number (y) is 39

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

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.