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Question Number 114863 by mathdave last updated on 21/Sep/20

$$findfourconsecutivemultiplesof5$$$$suchthattwicethesumofthetwo$$$$greatestintegerexceedfivetimesthe$$$$leastby5$$

Answered by PRITHWISH SEN 2 last updated on 21/Sep/20

$$\mathrm{let}\mathrm{the}\mathrm{integrs}\mathrm{are}$$$$(5\mathbf{m}-10),(5\mathbf{m}-5),5\mathbf{m},(5\mathbf{m}+5)$$$$\mathrm{by}\mathrm{the}\mathrm{problem}$$$$2\{5\mathrm{m}+(5\mathrm{m}+5)\}=5(5\mathrm{m}-10)+5$$$$\Rightarrow \mathbf{m}=11$$$$\therefore \mathbf{the}\mathbf{numbers}\mathbf{are}$$$$45,50,55,60$$

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