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Question 29 : One-fifth of a number is equal to \\frac{5}{8}\\)^{th} of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.

- 39
- 70
- 40
- 25

40

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Let the first number be F, and the second number be S.

One-fifth of the first number is equal to 5/8th of second number

\\frac{1}{5}\\) F = \\frac{5}{8}\\) S

S = \\frac{8}{25}\\) F.

If 35 is added to the first number, it becomes four times of the second number.

F + 35 = 4 S

S = \\frac{8}{25}\\) F.

F + 35 = 4 S.

S = \\frac{8}{25}\\) (4S - 35)

25 S = 32 S – 8 * 35

7 S = 280

S = 40

The second number is 40.

The question is **"One-fifth of a number is equal to \\frac{5}{8}\\) ^{th} of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number." **

Choice C is the correct answer

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