Question

One number is 16 more than nine times another. Their sum is 116 . Find the numbers. Enter your answer as a list of numbers separated by a comma: a,b Show all work.

Answer 1

The numbers are 106 and 10.

Step-by-step explanation:

Solution:

Let's assume one number as 'a' and the other number as 'b'.

According to the given information:

a = 9b + 16

a + b = 116

We can substitute the value of 'a' from the first equation into the second equation:

9b + 16 + b = 116

Combining like terms:

10b + 16 = 116

Subtracting 16 from both sides:

10b = 100

Dividing both sides by 10:

b = 10

Substituting the value of 'b' back into the first equation:

a = 9(10) + 16

a = 90 + 16

a = 106

Therefore, the numbers are 106 and 10.