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| 1. |
If sum of two numbers is C and their quotient is p/q ,then find number.\xa0 |
| Answer» 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}\xa0----(2)From eq(2){tex}a={p\\over q}×b{/tex}\xa0---------(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×qb(p+q)=Cq b={tex}{Cq\\over p+q}{/tex}On substituting value of b in eq.(3) we geta={tex}{p\\over q}×{Cq\\over p+q}={pC\\over p+q}{/tex}\xa0 | |