# 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 |

*x*^{2} + 17*x* - 60 = 0

(*x* + 20)(*x* - 3) = 0

*x* = 3.

Discussion:

19 comments Page 1 of 2.
Anitha Karre said:
4 years ago

In given options, suppose a positive number is 10.

Which is added by 17. i.e10+17=27 by a given question which is equal to 60. So see in the units place of both numbers (27,60) '7' & '0' which is not equal.

Suppose 3 is +ve number added by 17 gives 20 which is equal to 60/3=20.

So the positive number is 3.

Which is added by 17. i.e10+17=27 by a given question which is equal to 60. So see in the units place of both numbers (27,60) '7' & '0' which is not equal.

Suppose 3 is +ve number added by 17 gives 20 which is equal to 60/3=20.

So the positive number is 3.

Raam said:
6 years ago

What if the number of times is 59 rather than 60? Please tell me.

Debrupa said:
6 years ago

Reciprocal of x = 1/x.

Here, the equation should be ->

x+17=60*(1/x)

=> x=3,-20.

But, as we have to calculate +ve no only, so answer will be 3.

Here, the equation should be ->

x+17=60*(1/x)

=> x=3,-20.

But, as we have to calculate +ve no only, so answer will be 3.

(3)

Balag said:
8 years ago

5 is wrong. Because 12 * 5 = 60. Not -60. So it is wrong.

(2)

Steven Than said:
8 years ago

Yes, I agree @Kabali.

The answer is 5.

The answer is 5.

(2)

Denzel said:
8 years ago

How did you get x2 + 17x - 60 ?

(2)

Kabali said:
8 years ago

x2 + 12x + 5x - 60 = 0 also solution.

x(x + 12) - 5(x + 12) = 0.

Hence x = 5 is also the answer.

x(x + 12) - 5(x + 12) = 0.

Hence x = 5 is also the answer.

(2)

Kausik said:
9 years ago

How you come to the assumption of x2+20x-3x-60 = 0 (we can write 17x as (20x-3x))?

20-3 = 17 is one of the assumptions for the result of 17, but how this can be narrowed to the right assumption?

20-3 = 17 is one of the assumptions for the result of 17, but how this can be narrowed to the right assumption?

(3)

Naresh said:
9 years ago

Please tell about the detail of question.

(1)

Hariteja said:
9 years ago

Check from the options. It will be easy.

(1)

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