Answer:

a. 176

Step-by-step explanation:

Problems involving ratio

The given are the ratio of 2 numbers of 4:7 and a mathematical statement. We need to know the sum of the numbers.

Step 1: Translate the mathematical statement into a mathematical equation. Let x be the number.

Statement: the difference between the two numbers is 48.

Equation 1: 7x - 4x = 48

Step 2: Solve x in the resulting equation 1.

7x - 4x = 48

3x = 48

3x/3 = 48/3

x = 16

Step 3: Determine the value of the two numbers by using the resulting value of x. Thus,

7x = 7 x 16 = 112

4x = 4 x 16 = 64

Step 4: Add the two resulting numbers.

112 + 64 = 176

Therefore, the sum of the two numbers is 176.

To learn more about problems involving ratios, click on the link below:

brainly.ph/question/8805213

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