Digits Number
The last 2 digits of a 6 digit number are 4 and 2 respectively. When these two digits are shifted together to?
stand at the left of the remaining four digits the new six digit number is exactly half of the original. Find the original number.
so the original number is in the form: wxyz42
following the shift, the new number is: 42wxyz and this is half of the first. so, the algebraic equation is wxyz42=2(42wxyz). To solve this, we have to work to separate the variable string from the known numbers. This can be done by focusing on simple addition:
wxyz00+42=2(420000+wxyz) or 100wxyz+42=2(420000+wxyz)
now, solve for wxyz:
divide both sides by 2: 50wxyz+21=420000+wxyz
now, collect the like terms: 50wxyz-wxyz=420000-21,
and simplify: 49wxyz=419979. therefore wxyz=8571.
so, the original number is 857142 and the second number is 428571.
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word problems please!? The units' digit of a two-digit counting number is 1 greater ???
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