Answer:
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.
