Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - General Questions (Q.No. 10)
10.
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
Answer: Option
Explanation:
Let the number be x.
| Then, x + 17 = | 60 |
| x |
x2 + 17x - 60 = 0
(x + 20)(x - 3) = 0
x = 3.
Discussion:
21 comments Page 1 of 3.
Sirisha said:
1 decade ago
You substitute the options in the place of x. Then we get LHS=RHS.
Revathy said:
1 decade ago
(x+20)(x-3)=0 is correct
hw did you arrive on x = 3?
Please explain the solving of equation.
hw did you arrive on x = 3?
Please explain the solving of equation.
Professor tajinder said:
1 decade ago
@Revathy
See we have (x-3)(x+20)=0
Now x-3=0
x=3
x+20=0
x=-20
But we have to find the postive no, so the answer is 3.
Hope you will undertand it.
See we have (x-3)(x+20)=0
Now x-3=0
x=3
x+20=0
x=-20
But we have to find the postive no, so the answer is 3.
Hope you will undertand it.
(1)
Ravi said:
1 decade ago
How we got (x-3)(x+20)?
Rajeev said:
1 decade ago
@Ravi we have to subdivide the equation.
We have x2 + 17x - 60 = 0,
Now, x2+20x-3x-60 = 0 (we can write 17x as (20x-3x)).
x(x+20)-3(x+20).
Then (x-3)(x+20) = 0.
We have x2 + 17x - 60 = 0,
Now, x2+20x-3x-60 = 0 (we can write 17x as (20x-3x)).
x(x+20)-3(x+20).
Then (x-3)(x+20) = 0.
Rakesh said:
1 decade ago
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
But here you're not taking reciprocal of number to solve your just taking x.
But here you're not taking reciprocal of number to solve your just taking x.
Joe said:
1 decade ago
Let the number be x but since we have 3,17,10 and 20 as the numbers but we don't know which is the correct one the here is the Equation,
x+17 = 60/x.
So am using 3 as my first number.
3(3+17) = 60/3*3.
3(20) = 20*3.
60 = 60.
Hence the Answer is 3.
x+17 = 60/x.
So am using 3 as my first number.
3(3+17) = 60/3*3.
3(20) = 20*3.
60 = 60.
Hence the Answer is 3.
Pankaj said:
1 decade ago
I'm not understand reciprocal means in this question?
Sindhu said:
1 decade ago
Reciprocal means if you take x reciprocal of x is 1/x.
Hariteja said:
1 decade ago
Check from the options. It will be easy.
(1)
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