Question

The greater of 2 numbers is 9 more than the smaller. Thelr sum is 67 . Find the numbers.

Answer 1

Smaller number = 29

Larger number = 38

Explanation:

We can allow x to represent the larger number and y to represent the smaller number.

Since the larger number is 9 more than the smaller number, we have:

x = y + 9

Since the sum of the 2 numbers is 67, we have:

x + y = 67

Now we substitute x = y + 9 for x in x + y = 67 to find y:

y + 9 + y = 67

2y + 9 = 67

2y = 58

y = 29

Now we can plug in 29 for y in x = y + 9 to find x:

x = 29 + 9

x = 38

Thus, the smaller number is 29 and the larger number is 38.