document.write( "Question 1027785: Q2. The difference of two numbers is 4. The sum of thrice the larger number and four times the smaller number is 61. Find the number.
\n" ); document.write( "Q2. A block of wood is 75cm ×50cm×40cm. How many cube of side 0.1m can be carved out of it? \n" ); document.write( "

Algebra.Com's Answer #643009 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The difference of two numbers is 4.
\n" ); document.write( "x - y = 4.......(1)
\n" ); document.write( "The sum of thrice the larger number
\n" ); document.write( "and four times the smaller number is 61.
\n" ); document.write( "3x + 4y = 61.....(2)
\n" ); document.write( "Simultaneous equations:
\n" ); document.write( "x - y = 4.......(1)
\n" ); document.write( "3x + 4y = 61....(2)
\n" ); document.write( "Multiply Eq(1) by 4
\n" ); document.write( "4x - 4y = 16....(1)
\n" ); document.write( "3x + 4y = 61....(2)
\n" ); document.write( "Add Eq(1) + Eq(2)
\n" ); document.write( "7x = 77
\n" ); document.write( "x = 11
\n" ); document.write( "Substitute x = 11 into Eq(2)
\n" ); document.write( "3x + 4y = 61.....(2)
\n" ); document.write( "3(11) + 4y = 61
\n" ); document.write( "33 + 4y = 61
\n" ); document.write( "4y = 61 - 33
\n" ); document.write( "4y = 28
\n" ); document.write( "y = 7
\n" ); document.write( "Two numbers: 11 and 7
\n" ); document.write( ".......................
\n" ); document.write( "Convert sizes from centimeters
\n" ); document.write( "to meters:
\n" ); document.write( "0.75m x 0.5m x 0.4m
\n" ); document.write( "= 0.15m^3
\n" ); document.write( "Volume of a cube of side 0.1m
\n" ); document.write( "length x breadth x height
\n" ); document.write( "= (0.1m)^3 = 1 x 10^-3m^3
\n" ); document.write( "0.15m^3/1 x 10^-3m^3
\n" ); document.write( "= 150 cubes.
\n" ); document.write( "Hope this helps :-)
\n" ); document.write( " \n" ); document.write( "

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