Two numbers are in the ratio 7: 9, if the sum of the numbers is 112, then the larger number?

A) 49

B) 72

C) 63

D) 42

We are given that the ratio of the two numbers is 7:9

Let the ratio be x

So, The numbers are 7x and 9x

Now we are given that the sum of the two numbers is 112

So, 

So, 

Hence the larger number is 63