Question

One number is four times another.  The sum of their reciprocals is 5 .What are the two numbers?
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Answer 1

Answer:

Frist number- 1/4

Second number-1

Step-by-step explanation:

Let the first number be 'x'

Then the second number will be '4x'(Four times the first number)

Since the sum of their reciprocal is 5

=>1/x + 1/4x = 5

=>(4x+x)/4x²=5

=>5x=4x²×5

=>5x=20x²

x gets cancelled on both sides

=>20x=5

=>x=5/20

=>x=1/4

=>4x=1/4×4

=>4x=1

Therefore,

First number-1/4

Second number-1

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Answer 2

Answer:

a=1,b=1/4

Step-by-step explanation:

let.

a=4b

1/a+1/b=5 (given)

(a+b)/ab=5

a+b=5ab

4b+b=5×4b×b

5b=20b×b

b=1/4

as, 4b=a

4(1/4)=a

a=1