A number is 25 more than its two – fifths. Find the numbera)145/3b)125/3c)145d)125e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

A number is 25 more than its two &#8211; fifths. Find the numbera)145/3b)125/3c)145d)125e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Answer

Answer

To solve this problem, we need to set up an equation based on the given information and then solve for the unknown number.

Let's assume the unknown number is represented by the variable 'x'.

According to the problem, the number is 25 more than its two-fifths. Therefore, we can write the equation as:

x = (2/5)x + 25

Now, let's solve this equation step by step:

Step 1: Distribute the fraction:
x = (2/5)x + 25 can be rewritten as
x = (2/5)x + 25(5/5)

Step 2: Simplify the equation:
x = (2/5)x + 125/5

Step 3: Combine like terms:
x - (2/5)x = 125/5
(5/5)x - (2/5)x = 125/5

Step 4: Simplify the left side of the equation:
(3/5)x = 125/5

Step 5: Multiply both sides by 5/3 to isolate x:
(5/3)(3/5)x = (5/3)(125/5)
x = 625/3

Therefore, the unknown number is 625/3, which is equivalent to 125/3.

Hence, the correct answer is option B) 125/3.

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