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Two Digit Number | ||||||||||||
Find the smallest two digit number that if you change the tens and the units each other and divided by its sum will get 7. Solution : Suppose that number is AB =10A+B its reverse to be 10B+A its sum = A+B (10A+B)/(A+B)=7 10A+B=7(A+B) 10A+B=7A+7B 10A-7A=7B-B 3A=6B A=2B if B=1 then A=2 if B=2 then A=4 if B=3 then A=6 if B=4 then A=8 the answer should be 21, 42, 63, or 84 since the smallest number is 21 then the final answer should be 21. |
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