document.write( "Question 1101754: The difference between two times one number and a lesser one is 48. The sum of the greater number and three times the lesser number is 62. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #716373 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two numbers, a & b(lessor) \n" ); document.write( ": \n" ); document.write( "The difference between two times one number and a lesser one is 48. \n" ); document.write( "2a - b = 48 \n" ); document.write( " The sum of the greater number and three times the lesser number is 62. \n" ); document.write( "a + 3b = 62 \n" ); document.write( "a = -3b + 62 \n" ); document.write( ": \n" ); document.write( " Find the numbers \n" ); document.write( "In the first equation, replace a with (-3b+62) \n" ); document.write( "2(-3b + 62) - b = 48 \n" ); document.write( "-6b + 124 - b = 48 \n" ); document.write( "-7b = 48 - 124 \n" ); document.write( "-7b = -76 \n" ); document.write( "b = -76/-7 \n" ); document.write( "b = +76/7 \n" ); document.write( "or \n" ); document.write( "b = +10 \n" ); document.write( "then \n" ); document.write( "a = -3(76/7) + 62 \n" ); document.write( "a = -(228/7) + 62 \n" ); document.write( "a = -(228/7) + (434/7) \n" ); document.write( "a = 206/7 \n" ); document.write( "a = 29 |