Question

The sum of two numbers is 46. The larger number is 16 more than the smaller number.

Answer 1

`y = 15 \\ x = 31`

Explanation:

`y + 16 + y = 46 \\ 2y = 30 \\ y = 15 \\ \\ x = 15 + 16 \\ x = 31`

Answer 2

Smaller number: 15 Larger number: 31

Explanation:

Let's call the smaller number x

So, the larger number will be x+16 (it's 16 more)

Then, write an equation:
x (smaller number) + (x+16) (larger number) = 46 (sum)

x+x+16=46
2x+16=46
2x=30
x=15
So, the smaller number is 15
The larger number is x+16, so plug in x:
x+16 = 15+16 = 31
The smaller number is 15, and the larger number is 31