Help me out please !!!!!
2 answers:
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Answer:
The two number are:
Step-by-step explanation:
- Let 'x' be the first number
- let 'y' be the second number
Given that one number is 4 times another number, the first equation is
Next, the sum of their reciprocals is 5, so
Now, we have the system of equations
Let us solve the system of equations
substitute y = 4x in the equation
Least Common Multiple of x, 4x: 4x
Adjust fractions based on L.C.M
Multiply both sides by 4x
Simplify
switch sides
Divide both sides by 20
Simplify
For y = 4x, substitute
Therefore, the two number are:
<u>Verification:</u>
substituting
L.H.S = R.H.S
and
substituting