Q:
Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?
Answer & Explanation
Answer: A) 15
Explanation: Let the required two numbers be a, b
From the given data,
2a + 3b = 36 .....(1)
3a + 2b = 39 .....(2)
Now, by solving 1 and 2 eqnts, we get
5a = 45
a = 9 ....(3)
Put (3) in (1), we get
2(9) + 3b = 36
=> 18 + 3b = 36
3b = 36 - 18
=> b = 18/3 = 6
Required, difference between the numbers = a + b = 9 + 6 = 15.
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