The sum of three numbers is 69. The second number is equal to the first diminished by 8, and the third number is 5 times the first.
If x represents the first number, then which of the following equations could be used to determine the values of all of the numbers?
x = 6x - 8
69 = 6x - 8
69 = 7x - 8
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7x - 8 = 69, can be used to determine the values of all of the numbers.
Step-by-step explanation:
Let, three number be x, y and z.
It is given that the sum of all three is 69.
- x + y + z = 69 ........(1)
According to the question, the second number is equal to the first diminished by 8.
- So, y = x - 8 ............(2)
And, The third number is 5 times the first.
- So, z = 5x ............(3)
Put the values of y & z from (2) & (3) respectively in equation (1), we get,
- x + x - 8 + 5x = 69
7x - 8 = 69 ...........(4)
Thus, the equation (4), we can used to determine the values of all of the numbers.
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