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The sum of two numbers is 8 and the difference of their squares is 16, find the numbers |
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Answer» 5 and 3 x+y=8 _________ 1x\'2-y\'2=16(X+y)(x-y)=168(x-y)=16x-y=16/8x-y=2 _________ 2Add eqn 1 and 2x+y+x-y=8+22x=10x=10/2x=5Put value of x in eqn 2x-y=25-y=25-2=y3=y 5 & 3Because square of 5 is 25 and square of 3 is 9 |
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