Divide 54 into two parts such that one part is 2/7of the other.
3, 8
To divide 54 into two parts such that one part is 2/7 of the other, we can set up an algebraic equation.
Let's assume that one part is "x" and the other part is "2/7x".
We know that the sum of these two parts should be equal to 54.
So, we can write the equation as:
x + (2/7)x = 54
To solve this equation, we can first simplify it:
(7/7)x + (2/7)x = 54
(9/7)x = 54
Next, we can isolate "x" by multiplying both sides of the equation by the reciprocal of (9/7), which is (7/9):
(7/9)*(9/7)x = (7/9)*54
x = (7/9)*54
Now, we can calculate the value of "x":
x = (7/9) * 54
x = 378/9
x = 42
Therefore, one part is 42, and the other part is (2/7) * 42.
To calculate the second part:
(2/7) * 42 = (2 * 42) / 7 = 84/7 = 12
So, the two parts are 42 and 12, respectively, where one part is 2/7 of the other.
54 / (2 + 7) = 6
(2 * 6) / (7 * 6) = 2 / 7