Question

The difference of two numbers is 6. Their sum is 14. What is the bigger
number?

Answer 1

Explanation:

let the unknown numbers be a and b.

according to the question, the difference between the two numbers is 6.

thus, we have our first equation

a - b = 6 -----> (i)

also, the sum of the two numbers is 14.

thus, our second equation

a + b = 14 ----> (ii)

adding equations (i) and (ii), we get

2a = 20

a = 20/2

therefore, a = 10

putting the value of "a" in equation (ii), we get

10 + b = 14

b = 14 - 10

therefore, b = 4

Now that we have found both of the values of "a" and "b", we can definitely come into the conclusion that "a" is the bigger number.

Thus, the value of the bigger number is 10.