Question

Two numbers are in the ratio :- 5:7, and their sum is 180. Find the numbers. ​

Answer 1

Answer:

15

Step-by-step explanation:

5x+7x=180

12x=180

x=180/12

x=15

Answer 2

Answer:

75 and 105

Step-by-step explanation:

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

Since 5:7 is a ratio which essentially represents numbers that are of a bigger value, we can say that the two numbers can be denoted as 5n and 7n, where n is a variable that we will find from the given information.

Since the sum of the numbers is 180, we can say that:

5n+7n=180

12n=180

n=15

Now that we have established this, we can just go back and substitute the value of n into 5n:

5n = 5*15

= 75

Therefore, the smaller number is 75. This can also be double checked by finding the value of the other number and seeing if it adds up to 180.

7n = 7*15

= 105

105+75 = 180

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!

If you liked my solution please mark me as Brainliest.