Question

sum of the two numbers is 15 and the difference between their squares is 15 a) what is the difference between the numbers. a) what is the difference between the numbers. b) what are the numbers​

Answer 1

Step-by-step explanation:

The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is __________.

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ANSWER

Let the two numbers be a and b

Thus (a+b)=15 ....(given)

and (a

2

−b

2

)=15 ....(given)

⇒(a+b)(a−b)=15

⇒15(a−b)=15

⇒(a−b)=1 (difference of the numbers