The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers

Assessment: JAMB UTME - Mathematics - 1999 Subject: General Mathematics

Question 1 Report

The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers
Answer Details
Let's call the two numbers x and y. From the problem, we can write two equations: x + y = 2(x - y) (the sum of the two numbers is twice their difference) x - y = P (the difference of the numbers is P) To solve for x and y, we can use the first equation to eliminate one of the variables. x + y = 2(x - y) x + y = 2x - 2y 3y = x Now we can substitute 3y for x in the second equation: 3y - y = P 2y = P y = P/2 Since x = 3y, we have: x = 3(P/2) = 3P/2 Therefore, the larger of the two numbers is 3P/2. So, the answer is: 3P/2.
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