If sum of two numbers is …
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Dharmendra Kumar 8 years, 4 months ago
Let the two numbers are a and b.
Then A.T.Q.
a+b=C ------(1) and {tex}{a\over b}={p\over q}{/tex} ----(2)
From eq(2)
{tex}a={p\over q}×b{/tex} ---------(3)
Substituting this value in eq.(1) we get
{tex}{pb\over q}+b=C{/tex}
{tex}{pb+bq\over q}=C{/tex}
pb+bq=C×q
b(p+q)=Cq
b={tex}{Cq\over p+q}{/tex}
On substituting value of b in eq.(3) we get
a={tex}{p\over q}×{Cq\over p+q}={pC\over p+q}{/tex}
2Thank You