the difference of two number is 3 if the difference of their reciprocal is 4/21 find the two numbers
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the difference of two number is 3 if the difference of their reciprocal is 4/21 find the two numbers
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Step-by-step explanation:
reciprocal of 4/21=21/4
21/4=3
Answer:
Let a & b be two numbers.
a - b = 3.
1/b - 1/a = 4/21.
=> a - b/ab = 4/21.
=> 3/ab = 4/21.
=> 4ab = 21 × 3 = 63.
=> ab = 63/3.
a - 21/a = 3.
=> a² - 3a - 21 = 0.
=> (a - 7)(a + 3) = 0.
=> a - 7 = 0 & a + 3 = 0.
=> a = 7 & a = -3.
Hence, the two numbers are 7 & -3.