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The sum of three consecutive multiples of 5 is 240. Find these multiples.

Ayesha's flower garden is square in shape. If she enlarges it by increasing the width by
1 metre and the length by 3 metres, the area will be 28 sq metres more than the present
area. What is the length of the side?
ctivity
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User Idish
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1 Answer

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Final answer:

To find the three consecutive multiples of 5 that add up to 240, we can set up an equation and solve for x. However, the problem statement about Ayesha's flower garden appears to have an inconsistency or error. Please double-check the problem for mistakes.


Step-by-step explanation:

To find the three consecutive multiples of 5, let's represent the first multiple as 'x'. The next two multiples would then be 'x + 5' and 'x + 10'. We know that the sum of these three multiples is 240, so we can set up the equation: x + (x + 5) + (x + 10) = 240. Simplifying this equation, we get 3x + 15 = 240. Solving for x, we find that x = 75. So, the three multiples of 5 are 75, 80, and 85.

To find the length of the side of Ayesha's flower garden, we can set up the equation: (x + 1) * (x + 3) = x^2 + 4x + 3 = x^2 + 4x + 3 + 28. Simplifying this equation, we get x^2 + 4x + 31 = x^2 + 2x - 28. Cancelling out the x^2 on both sides, we get 2x + 31 = 2x - 28. This equation has no solution, which means there is an error or inconsistency in the problem statement. Please recheck the problem for any mistakes.


Learn more about Consecutive multiples of 5 and solving equations

User Rollingthedice
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