1.

. Sum of two numbers is 36. If 9 is subtracted from 4 times the first number we get the second number. Find the numbers​

Answer»

Answer:

  • 9 and 27 are the numbers.

Step-by-step EXPLANATION:

Given

  • Sum of two numbers is 36.
  • If 9 is subtracted from 4 TIMES the first number we get the second number.

To find

  • Both the numbers.

Solution

Let the numbers be x and y:

Sum of two numbers is 36:

  • x + y = 36 - (I)

If 9 is subtracted from 4 times the first number we get the second number:

  • 4X - 9 = y - (II)

Solve the EQUATIONS (I) and (II):

  • x + y = 36
  • x + (4x - 9) = 36

Substituting (II) in y:

  • 5x - 9 = 36
  • 5x = 45
  • x = 45/5
  • x = 9

Now:

  • y = 4x - 9
  • y = 36 - 9
  • y = 27

Hence, the numbers are:

  • 9 and 27

Verification

  • x + y = 36
  • 9 + 27 = 36
  • 36 = 36
  • L.H.S = R.H.S


Discussion

No Comment Found

Related InterviewSolutions