The sum of two positive numbers x and y is 50 and the difference of their squares is 720. Find the numbers
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☞given:
The sum of two positive numbers x and y is 50 and difference of their square is 720.
☞To find:
Find the numbers
☞Solution:
Than the equation becomes
x + y = 50
x ² - y² = 720
(By using the formula x² - y² = (x - y)(x + y))
(x - y)(x + y) = 720
( As x + y = 50 )
x - y = 14.4
Than the two equations are
x + y = 50
x - y = 14.4
Add the x + y = 50 and x - y = 14.4 .
2x = 50 + 14.4
2x = 64.4
x = 32.2
Put in the equation x + y = 50 .
32.2 + y = 50
y = 50 - 32.2
y = 17.8
Therefore the numbers are 32.2 and 17.8
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