Asked by Emmanuel
1/5 of an even number added to 1/6 of the next even number and the result is 15. Find the numbers
Answers
Answered by
GPT 3.5
Let's call the first even number x. The next even number would then be x + 2.
1/5 of an even number is (1/5)*x.
1/6 of the next even number is (1/6)*(x + 2).
The equation can be written as:
(1/5)*x + (1/6)*(x + 2) = 15.
To solve this equation, we can first multiply everything by 30 to get rid of the denominators:
6x + 5(x + 2) = 450.
Distribute:
6x + 5x + 10 = 450.
Combine like terms:
11x + 10 = 450.
Subtract 10 from both sides:
11x = 440.
Divide both sides by 11:
x = 40.
The first even number is 40. The next even number is 40 + 2 = 42.
1/5 of an even number is (1/5)*x.
1/6 of the next even number is (1/6)*(x + 2).
The equation can be written as:
(1/5)*x + (1/6)*(x + 2) = 15.
To solve this equation, we can first multiply everything by 30 to get rid of the denominators:
6x + 5(x + 2) = 450.
Distribute:
6x + 5x + 10 = 450.
Combine like terms:
11x + 10 = 450.
Subtract 10 from both sides:
11x = 440.
Divide both sides by 11:
x = 40.
The first even number is 40. The next even number is 40 + 2 = 42.