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two numbers are in the ratio of 4:7. if the difference between them is 48,find the sum of the two numbers

Sagot :

Misspancitcantonidn

Answer:

The sum of the two numbers is 176.

Step-by-step explanation:

Ratio

Ratio shows the relative sizes of two or more values. It indicates how many times one number contains another.

Going back to the problem above, we need to find the two numbers that represent the ratio of 4:7 with a difference of 48.

Let us find the two numbers. Remember that ratio indicates how many times one number contains another.

Let x be the number.

Therefore, the ratio 4:7 = 4x:7x.

Equation:

7x - 4x = 48

Solution:

7x - 4x = 48

3x = 38

3x/3 = 38/3

x = 16

Substitute the value of x to find the two numbers.

4x:7x

4x = 4(16) = 64

7x = 7(16) = 112

The two numbers are 64 and 112.

Now let us add them.

64 + 112 = 176

Final Answer:

The sum of the two numbers is 176.

Checking:

Cross multiply.

4:7 = 4x:7x

4:7 = 64:112

7 • 64 = 4 • 112

448 = 448 ✔

(This symbol • is the same as the multiplication sign.)

For examples of word problems involving ratio, visit the links.

https://brainly.ph/question/281830

https://brainly.ph/question/867439

https://brainly.ph/question/2435621

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