Question

The sum of two positive numbers is 100 and difference os their squares is 1000. Find the number.

Answer 1

Answer:

then x²+y²=100

x²-y²=28

2x²=128

x²=64 x=8 as x is positive

y²=100–64=36,y=6

Thus sum of numbers x+y=8+6=14

Step-by-step explanation:

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Answer 2

Answer:

x=55 y=45

Step-by-step explanation:

x+y=100

55+45=100

55^2-45^2=1000