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One number is five times another. If the sum of their reciprocals ³/5, find the numbers.

Sagot :

1/x + 1/5x = 3/5
5 + 1 = 3x
6 = 3x
2 = x

Check:
1/2 + 1/10 = 3/5
5/10 + 1/10 = 3/5
6/10 = 3/5
3/5 = 3/5   TRUE

Therefore the two numbers are 2 and 10.