The difference of two numbers is 4 and the difference between their reciprocal 4/21. Find the numbers.
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The correct answer for your question is seven and three.
Your Question:
The difference of two numbers is 4.if the difference of their reciprocals is 4/21,find the numbers
So, the difference of the two unknown numbers is 4.
X - Y = 4 ------→ (1)
Here the reciprocal of X = 1/X
Here the reciprocal of Y = 1/Y
The difference of the reciprocals is 4/21
21Y - 21X = 4XY ------→ (2)
From the Equation (1)
X – Y = 4
X = 4 + Y ------→ (3)
Combining the equation (2) and (3) we get.
Y = 12/4
Y = 3
Substituting the Y in equation (1) we get
X = 4+3
X = 7
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