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The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is

  • 20
  • 23
  • 27
  • 150

Answer: Option B

Explanation:

We know
(x+y)2=x2+y2+2xy



=>(x+y)2=289+2(120)


=>(x+y)=√529=23

Similar Questions :

1. Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

  • 5
  • 15
  • 7.5
  • 4

Answer: Option A

Explanation:

Let the number be x.
7x -15 = 2x + 10 => 5x = 25 => x = 5

2. Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers

  • 2
  • 4
  • 8
  • 12

Answer: Option B

Explanation:

Let the ten digit be x, unit digit is y.
Then (10x + y) - (10y + x) = 36
=> 9x - 9y = 36
=> x - y = 4.

3. A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number

  • 8
  • 10
  • 12
  • 14

Answer: Option A

Explanation:

=> 3(2x+9) = 75
=> 2x+9 = 25
=> x = 8

4. Find the number which when multiplied by 15 is increased by 196

  • 10
  • 12
  • 14
  • 16

Answer: Option C

Explanation:

Let the number be x.
Then, 15x = x + 196
=› 14 x= 196
=› x = 14.

5. find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.

  • 214
  • 216
  • 114
  • 116

Answer: Option B

Explanation:

Let the number is x,
=>23x−50=14x+40



<=>23x−14x=90

<=>5x12=90

<=>x=216

Read more from - Problems on Numbers Questions Answers
Post a comment

  • mastguru 11 years ago

    Friend, 2xy is not moved to any side, we just put the given values in formula to get answer.
    as (x)2, (y)2 and xy are given, so we put values to get answer.

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