Question

the sum of two numbers is 9 the difference in their squares is also 9 find the numbers

Answer 1

Answer:

Let the first number be a

Second number = 9 -a

According to question,

a^2 - ( 9-a)^2 = 9

=> a^2 - ( 81 + a^2 - 18a) = 9

=> a^2 - 81 - a^2 + 18a = 9

=> 18a = 90

=> a = 5

First number = 5

Second number = 4

Answer 2

Answer:

A difference is the result of subtracting one number from another. The process of finding the difference is also known as subtraction.

Step-by-step explanation:

The difference between two things is often used to examine what the two things do not have in common. For example apples and oranges. Apples are red and smooth. Oranges, on the other hand, are orange and bumpy. However, the concept of difference is different in mathematics. In mathematics, the definition of the difference of two numbers is the distance between them on the number line. For example, the difference between 10 and 8 is 2 because the distance on the number line between 10 and 8 is 2.

Let the first number be x

Second number = 9-x

According to question,

x²- (9-x)² = 9

x²-( 81 + x² - 18x) = 9

x² - 81- x²+ 18x = 9

18x = 90

x = 5

Hence, First number = 5

First number = 5Second number = 4

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