Answer :
Final answer:
To find the two numbers, we can set up a system of equations. Their difference is 43 and their sum is 151, so we have x - y = 43 and x + y = 151. Adding the equations together, we find that x = 97. Plugging this value back in, we solve for y and find that y = 54.
Explanation:
To find the two numbers, we can set up a system of equations. Let's call the two numbers x and y. The problem tells us that their difference is 43, so we can write the equation x - y = 43. The problem also tells us that their sum is 151, so we can write the equation x + y = 151.
To solve this system of equations, we can add the two equations together to eliminate y: (x - y) + (x + y) = 43 + 151. This simplifies to 2x = 194. Dividing both sides by 2, we find that x = 97. Plugging this value back into one of the original equations, we can solve for y: 97 + y = 151.
Subtracting 97 from both sides, we find that y = 54. Therefore, the two numbers are 97 and 54.This problem can be solved using a simple mathematical equation system. If we consider the two numbers being asked about as 'x' and 'y', then we can express the clues provided in the question as equations. The first clue is that the difference of the two numbers is 43, so we can write this as an equation: x - y = 43.
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