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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