Question

The sum of two numbers is 31.5. The difference is 5.25. Find the numbers

Answer 1

x+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 18.375-13.125=5.25
so
Answer:
18.375 and 13.125

Answer 2

The two numbers are 18.375 and 13.125

Explanation:

Given that the sum of two numbers is 31.5 and their difference is 5.25

we have to find the two numbers.

Let the two numbers are x and y.

As sum of two numbers is 31.5 and difference is 5.25

∴
`x+y=31.5` → (1)

`x-y=5.25` → (2)

Adding eq (1) and (2), we get

`2x=31.5+5.25=36.75`

`x=(36.75)/(2)=18.375`

(2) ⇒ 18.375-y=5.25 ⇒ y=13.125

Hence, the two numbers are 18.375 and 13.125