One number is twenty-five less than four times another number. If each number were multiplied by six, their difference would be 246. What are the numbers?
+14903 One number x is twenty-five less than four times another number y. If each number were multiplied by six, their difference would be 246. What are the numbers?
Eine Zahl x ist fünfundzwanzig weniger als das vierfache einer anderen Zahl y. Wenn jede Zahl mit sechs multipliziert würde, wäre ihre Differenz 246. Was sind die Zahlen?
Hello Guest!
\(4y-25=x\\ \underline{6x-6y=246}\\ 6(4y-25)-6y=246\\ 24y-150-6y=246\)
\(18y=396\)
\(y=22\)
\(x=4y-25\\ x=4\cdot 22-25\)
\(x=63\)
\(4\cdot 22-25=63\\ 6\cdot 63-6\cdot 22=246\\ 4y-25=x\\ 6x-6y=246\) q.e.d.
The numbers are x=63 and y=22.
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