The difference of two numbers is 14 and the difference in their square is 448. find the number
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The difference between two numbers is 14 and the difference between the square is 448. What are the two numbers by elimination method?
Given:Let two numbers be x and y
By the problem,x -y=14 …..(1)
and x^2-y^2=448
(x+y)(x-y)=448
14*(x+y)=448
(x+y)=448/14=32
(x+y)=32….(2)
By elimination method,adding eqn(1)and(2),we get:
2x=46
x=46/2=23
Using the value of x=23 in eqn (2),we get:
x+y=32
23+y=32
y=32–23=9
Now,x=23 and y=9
The required numbers23and9
i hope it will helps you☺
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here is ur answer.....
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