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Two numbers are in ratio 8 ratio 3 if the sum of the numbers is 143 find the numbers
Most Upvoted Answer
Two numbers are in ratio 8 ratio 3 if the sum of the numbers is 143 f...
let the number be 8x and 3x8x+3x=14311x=143x=143÷11x=13check=8×13+3×13=143 104+39=143 143=143hence LHS=RHS
Community Answer
Two numbers are in ratio 8 ratio 3 if the sum of the numbers is 143 f...
Given:
- Two numbers are in ratio 8:3
- The sum of the numbers is 143

To find:
- The two numbers

Explanation:

Step 1: Set up the ratio
Let's assume the two numbers are 8x and 3x, where x is a common factor. The ratio between the numbers is 8:3, so the first number is 8 times the common factor and the second number is 3 times the common factor.

Step 2: Set up the equation
Since the sum of the numbers is 143, we can write the equation as:

8x + 3x = 143

Step 3: Solve the equation
Combine like terms:

11x = 143

Divide both sides of the equation by 11:

x = 143/11

Simplify:

x ≈ 13

Step 4: Find the numbers
Now that we know x is approximately 13, we can substitute it back into the ratio to find the numbers:

First number = 8x = 8 * 13 = 104
Second number = 3x = 3 * 13 = 39

Answer:
The two numbers are 104 and 39.
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