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The difference between two numbers is 18. If 4 times the second number is less than three times the first number by 18, what is the sum of these two numbers.
  • a)
    100                          
  • b)
    80
  • c)
    86                            
  • d)
    92
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The difference between two numbers is 18. If 4 times the second number...
Given:

- The difference between two numbers is 18.
- 4 times the second number is less than three times the first number by 18.

To find: The sum of these two numbers.

Let's assume the first number as x and the second number as y.

According to the first condition,

x - y = 18 ---- (1)

According to the second condition,

3x - 4y = 18

3x = 4y + 18

x = (4y + 18)/3

Substituting the value of x in equation (1),

(4y + 18)/3 - y = 18

4y + 18 - 3y = 54

y = 36

Substituting the value of y in equation (1),

x - 36 = 18

x = 54

Therefore, the sum of these two numbers is x + y = 54 + 36 = 90.

Hence, the correct answer is option (E) None of these.
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The difference between two numbers is 18. If 4 times the second number is less than three times the first number by 18, what is the sum of these two numbers.a)100b)80c)86d)92e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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