The sum of two number is c and their quotient is p/q.find number with latest soliution
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Quotient of two numbers is p/q.
Let the two numbers be (p)*(x) and (q)*(x)
Where x is their common factor
And let d = quotient of two numbers = p/q
Now sum of two numbers = c
=> px + qx = c
=> (p +q)*x= c
=> x = c/(p+q)
So, the two number are
Px = p*{c/(p+q)} = c/(1 + q/p) = c/(1+ 1/d)
Qx = q*{c/(p+q)} = c/(p/q + 1) = c/(d + 1)
Where c=sum
And d=quotient
Let the two numbers be (p)*(x) and (q)*(x)
Where x is their common factor
And let d = quotient of two numbers = p/q
Now sum of two numbers = c
=> px + qx = c
=> (p +q)*x= c
=> x = c/(p+q)
So, the two number are
Px = p*{c/(p+q)} = c/(1 + q/p) = c/(1+ 1/d)
Qx = q*{c/(p+q)} = c/(p/q + 1) = c/(d + 1)
Where c=sum
And d=quotient
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