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  • A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E ___________ & A + B + C + D = 100 *what is the value of E ?*

A x 4 = E B ÷ 4 = E C + 4 = E D - 4 = E ___________ & A + B + C + D = 100 *what is the value of E ?*

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eginarrayl extGiven : A imes4=EBdiv4=EC+4=ED-4=E\ A, B, C, D ext w.r.t. E extare:\ A=fracE4\ B=4E\ C=E-4\ D=E+4\ extAlso,\ A+B+C+D=100\ extHence,\ RightarrowfracE4+4E+(E-4)+(E+4)=100\ RightarrowfracE4+4E+E-4+E+4=100\ RightarrowfracE4+4E+2E=100\ RightarrowfracE4+6E=100\ Rightarrow E+24E=4*100\ Rightarrow25E=400\ Rightarrow E=frac40025\ Rightarrow E=16\ \ endarray

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Deependra Verma

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