One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number ?12070402578
Question
One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number ?12070402578
Solution
Let's denote the first number as X and the second number as Y.
From the problem, we have two equations:
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X/5 = 5Y/8, which simplifies to X = 25Y/8.
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X + 35 = 4Y.
We can substitute the first equation into the second to get:
25Y/8 + 35 = 4Y.
To solve for Y, we first multiply every term by 8 to get rid of the fraction:
25Y + 280 = 32Y.
Subtract 25Y from both sides:
280 = 7Y.
Finally, divide by 7 to solve for Y:
Y = 280 / 7 = 40.
So, the second number is 40.
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