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The sum of two numbers is 80. If the lar...

The sum of two numbers is 80. If the larger number exceeds four times the smaller one by 5. Find the numbers.

Text Solution

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Let the two numbers x and y, and `x gt y`.
According to equation, x + y = 80 …(1)
and x - 4y = 5 …(2)
Subtracting equation (2) from (1), we get
5y = 75 implies y = 15
Putting, y = 15 in equation (1), we get
x + 15 = 80
implies x = 65
Hence, the required numbers are 65 and 15.
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