Question

- The ratio of two numbers is 13:12, and their sum is 125. Find the numbers,
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Answer 1

There are several ways to approach a problem like this one, but my personal favourite is as follows:

Since 3:7 is a ratio which essentially represents numbers that are of a bigger value, we can say that the two numbers can be denoted as 3n and 7n, where n is a variable that we will find from the given information.

Since the sum of the numbers is 120, we can say that:

3n+7n=120

10n=120

n=12

Now that we have established this, we can just go back and substitute the value of n into 3n:

3n = 3*12

= 36

Therefore, the smaller number is 36. This can also be double checked by finding the value of the other number and seeing if it adds up to 120.

7n = 7*12

= 84

84+36 = 120

This way, we have double checked our answer to ensure it is correct.

I hope this helped, and I also hope you are able to apply this to similar problems!

Answer 2

Step-by-step explanation:

The Number are give 13:12

Sum of Number = 125

Let the first number be = 13x

Second Number is = 12x

13x+12x = 125

25x= 125

X = 125/25

X = 5

So X = 5

• put value 13x = 13×5
• = 65
• put value 12x = 12×5
• = 60

• Here you answer is 65,60
• thanks dear friend
• I hope you help