Sum of two numbers is 24 and the difference is 15. What are the two numbers?

Let,

the bigger number be "x"

the smaller number be "y"

Now, according to the question,

x + y = 24 ... equation (1) ... because the sum of numbers is 24

x - y = 15 ... equation (2) ... because their difference is 15

Taking equation (2),

x - y = 15

x = 15 + y ... equation (3)

Now, Taking equation (1)

x + y = 24

(Substituting the value of "x" form equation (3) we get)

15 + y + y = 24

(Subtracting 15 on both sides, we get)

y + y = 24 - 15

2y = 9

y = 9 / 2

y = 4.5

Now,

Taking equation (3)

x = 15 + y

(Substituting the value of y, we get)

x = 15 + 4.5

x = 19.5

So, the two numbers are 19.5 and 4.5