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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?

 Jul 15, 2020
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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.

laugh  !

 Jul 15, 2020
edited by asinus  Jul 15, 2020

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