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The sum of two numbers is 8 and the difference of their squares is 16, find the numbers

Posted by Prateek Singh 6 years, 7 months ago

CBSE > Class 10 > Mathematics

3 answers

Ujwal Ambhore 6 years, 7 months ago

5 and 3

0Thank You

Ashwini Ghorpade 6 years, 7 months ago

x+y=8 _________ 1 x'2-y'2=16 (X+y)(x-y)=16 8(x-y)=16 x-y=16/8 x-y=2 _________ 2 Add eqn 1 and 2 x+y+x-y=8+2 2x=10 x=10/2 x=5 Put value of x in eqn 2 x-y=2 5-y=2 5-2=y 3=y

0Thank You

Lakshmi Kanwar 6 years, 7 months ago

5 & 3 Because square of 5 is 25 and square of 3 is 9

1Thank You

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CBSE > Class 10 > Mathematics