Question

7. Three numbers are in the ratio 2 : 3 : 4 and their sum is 54. Find the
number.
8. The sum of three consecutive even numbers is 54. Find the numbers.
[Hint: Take the numbers 2x, 2x + 2, 2x + 4]
9. The difference between two positive integers is 32. The ratio of these
integers is 1 : 3. Find these integers.

Answer 1

Answer:

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Step-by-step explanation:

7.            12 , 18, 24

8.        16 ,18 ,20

9.        8 , 24

Answer 2

Answer:

7.... First, let’s organize our information.

Multiply each number in the ratio: 2:3:4 by X

You now have three numbers, 2X and 3X and 4X

The ratio of these numbers is obviously still: 2:3:4

What is the sum of these three unknown numbers?

2X + 3X + 4X = (2+3+4)X

Sum = __X

The problem says that the sum is 54, so solve the equation:

(2+3+4)X = 54

__X = 54

X = 54?

Now, you just need to double, treble, and quadruple this X value to find your numbers.

Be sure to double-check your answer.

Is the ratio still 2:3:4 ?

Is the sum 54 ?

Step-by-step explanation:

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