Subject
Quantitative Aptitude
Topic
Number
The sum of two numbers is 40 and their difference is The ratio of the numbers is:
The sum of two numbers is 40 and their difference is The ratio of the numbers is:
ক)
11:9খ)
11:18গ)
21:19ঘ)
22:9Explanation
Let x and y denote the two numbers and, without a loss of generality, let x > y. Since the sum of the numbers is x + y and the difference is x - y, we see that we have the system: x + y = 40 and x - y = 4. By adding these two equations: (x + y) + (x - y) = 40 + 4 ==> 2x = 44 ==> x = 22. Then, since x + y = 40 implies y = 40 - x: y = 40 - x = 40 - 22 = 18. Therefore, the two numbers are 22 and 18. so the ratio =22:18=11:9Related questions
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