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Category: Arithmetic

Question-48871

Question Number 48871 by peter frank last updated on 29/Nov/18 Commented by maxmathsup by imad last updated on 01/Jan/19 2)wehavex22x3=x2+x3x3=x(x+1)3(x+1)=(x+1)(x3)$${f}\left({x}\right)=\frac{{x}\left({x}+\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)\left({x}−\mathrm{3}\right)}\:{and}\:{for}\:{x}\neq−\mathrm{1}\:{f}\left({x}\right)=\frac{{x}}{{x}−\mathrm{3}}\:\:{but}\:{remember}\:{that} \

a-Find-a-four-digit-number-that-satisfies-the-following-condition-the-sum-of-the-squares-of-the-extreme-digits-is-equal-to-13-the-sum-of-the-squares-of-the-middle-digits-is-equal-to-85-if-we-substrac

Question Number 114326 by 1549442205PVT last updated on 18/Sep/20 a)Findafourdigitnumberthatsatisfiesthefollowingcondition:thesumofthesquaresoftheextremedigitsisequalto13;thesumofthesquaresofthemiddledigitsisequalto85;ifwesubstract1089fromthedesirednumberweobtainanumbercontaining$$\mathrm{the}\:\mathrm{same}\:\mathrm{digits}\:\mathrm{as}\:\mathrm{the}\:\mathrm{desired}\:\mathrm{number} \

Question-48742

Question Number 48742 by peter frank last updated on 28/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 28/Nov/18 xy4x+3y1=0x(y4)+3(y4+4)1=0x(y4)+3(y4)+11=0$$\left({x}+\mathrm{3}\right)\left({y}−\mathrm{4}\right)=\left(\sqrt{\mathrm{11}}\:\:\right)^{\mathrm{2}} {i}^{\mathrm{2}}…