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Two numbers are in the ratio 7: 9. If the sum of the numbers is 112, then the larger number is:
  • a)
    49
  • b)
    72
  • c)
    63
  • d)
    42
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two numbers are in the ratio 7: 9. If the sum of the numbers is 112, t...
Because 63 if you share. 112 in ratio of 7/9 you will get 63 a nd

49 the large is 63
Free Test
Community Answer
Two numbers are in the ratio 7: 9. If the sum of the numbers is 112, t...
Given information:
- The ratio of two numbers is 7:9.
- The sum of the numbers is 112.

To find:
- The larger number.

Let's solve step by step:

Step 1: Understanding the Ratio
The ratio 7:9 means that the first number is 7 times smaller than the second number.

Step 2: Identifying the Variables
Let's assume the first number is 7x and the second number is 9x. Here, x is a constant.

Step 3: Writing an Equation
According to the given information, the sum of the numbers is 112.
So, we can write the equation as:
7x + 9x = 112

Step 4: Solving the Equation
Combining like terms, we get:
16x = 112

Dividing both sides of the equation by 16:
x = 112/16
x = 7

Step 5: Finding the Larger Number
To find the larger number, we substitute the value of x back into our assumption.
The larger number = 9x = 9 * 7 = 63.

Therefore, the larger number is 63.

Hence, the correct answer is option C.
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Two numbers are in the ratio 7: 9. If the sum of the numbers is 112, then the larger number is:a)49b)72c)63d)42Correct answer is option 'C'. Can you explain this answer?
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