Question

. 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 1

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