The-unit-digit-of-a-two-degit-number-is-1-less-than-the-tens-degit-if-the-number-is-increased-by-8-and-then-divided-by-the-sum-of-the-digits-the-result-is-8-Find-the-number-

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Question Number 168073 by pete last updated on 02/Apr/22

$$\mathrm{The}\mathrm{unit}\mathrm{digit}\mathrm{of}\mathrm{a}\mathrm{two}\mathrm{degit}\mathrm{number}\mathrm{is}1\mathrm{less}$$$$\mathrm{than}\mathrm{the}\mathrm{tens}\mathrm{degit}.\mathrm{if}\mathrm{the}\mathrm{number}\mathrm{is}\mathrm{increased}$$$$\mathrm{by}8\mathrm{and}\mathrm{then}\mathrm{divided}\mathrm{by}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}$$$$\mathrm{digits},\mathrm{the}\mathrm{result}\mathrm{is}8.\mathrm{Find}\mathrm{the}\mathrm{number}.$$

Answered by som(math1967) last updated on 02/Apr/22

$${10}^{\prime }sdigitx$$$$unitdigit=x-1$$$$number=10x+x-1=11x-1$$$$11x-1+8=8(2x-1)$$$$7+8=5x$$$$x=3$$$$unitdigit=3-1=2$$$$numberis32ans$$$$(32+8)\text{boldsymbol}÷(3+2)=8$$

Commented by som(math1967) last updated on 02/Apr/22

$$Ithinksumofdigitsmeans$$$$sumofdigitsoforiginalnumber$$

Commented by peter frank last updated on 02/Apr/22

$$\mathrm{thank}\mathrm{you}$$$$\mathrm{thank}\mathrm{you}$$

Commented by pete last updated on 05/Apr/22

$$\mathrm{Thank}\mathrm{you}\mathrm{senior}$$$$\mathrm{Thank}\mathrm{you}\mathrm{senior}$$

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