The sum of two numbers is 10. One number is 4 less than the other number. Find the numbers.

The sum of two numbers is 10. One number is 4 less than the other number. and 3. The numbers are 7 and 3

Solution:

Let one of the number whose sum is to be taken be "x"

Let the other number be "y"

Also, as given in the question, one number is 4 less than the other number. Which can be written as y = x - 4

Thus, y = x - 4

The sum of the two numbers x and y is given as 10

Therefore, x + y = 10

Substituting the value of "y" in above expression we get

(x) + (x - 4) = 10

2x - 4 = 10

2x = 14

x = 7

Therefore, if x = 7 then y = x - 4 = 7 - 4 = 3

Thus, the two numbers are 7 and 3