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Two numbers are such that the sum of twice the first number and thrice the second number is 36 and sum of thrice the first number and twice the second number is 39. Which is the smaller number?
  • a)
    9
  • b)
    5
  • c)
    7
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two numbers are such that the sum of twice the first number and thrice...
Let the numbers be x and y
2x + 3y = 36
3x + 2y = 39
4x + 6y = 72

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Most Upvoted Answer
Two numbers are such that the sum of twice the first number and thrice...
Let's assume the first number as "x" and the second number as "y".

According to the given information, we have two equations:

Equation 1: 2x + 3y = 36
Equation 2: 3x + 2y = 39

To find the smaller number, we need to compare the values of x and y.

Solving the equations:
Multiplying Equation 1 by 2 and Equation 2 by 3, we get:

Equation 3: 4x + 6y = 72
Equation 4: 9x + 6y = 117

Subtracting Equation 3 from Equation 4, we get:

(9x + 6y) - (4x + 6y) = 117 - 72
9x - 4x = 117 - 72
5x = 45
x = 9

Substituting the value of x in Equation 1:
2(9) + 3y = 36
18 + 3y = 36
3y = 36 - 18
3y = 18
y = 6

Therefore, the first number (x) is 9 and the second number (y) is 6.

Comparing the values of x and y, we can conclude that the smaller number is 6.

Hence, the correct answer is option D) None of these.
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Two numbers are such that the sum of twice the first number and thrice the second number is 36 and sum of thrice the first number and twice the second number is 39. Which is the smaller number?a)9b)5c)7d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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