find a number such that if 5,15 and 35 are added to it,the product of the first and third results may be equal to the square of the second
Answers
Answered by
54
Let the number be x ;
Then the respective numbers formed by adding 5,15,35 are ;
(x+5),(x+15),(x+35)
According to the question :
(x+5)×(x+35) = (x+15)^2
x^2+35x+5x+175 = x^2+30x+225
40x + 175 = 30x+225
40x-30x = 225-175
10x = 50
x = 5
-----------------------------------
Hence the number is 5
Then the respective numbers formed by adding 5,15,35 are ;
(x+5),(x+15),(x+35)
According to the question :
(x+5)×(x+35) = (x+15)^2
x^2+35x+5x+175 = x^2+30x+225
40x + 175 = 30x+225
40x-30x = 225-175
10x = 50
x = 5
-----------------------------------
Hence the number is 5
Answered by
1
the answer is 5
hope so it helps
Attachments:
Similar questions