document.write( "Question 451510: Answer this quesion four brother were born in two year intervals, the sum of their ages is 36. Find the age of each. \n" ); document.write( "
Algebra.Com's Answer #310466 by pedjajov(51)![]() ![]() ![]() You can put this solution on YOUR website! Let's mark the age of each brother with B1, B2, B3, B4\r \n" ); document.write( "\n" ); document.write( "B1 = x - youngest brother's age is x years \n" ); document.write( "B2 = x + 2 - next brother is 2 years older then the youngest \n" ); document.write( "B3 = x + 4 - next brother is 2 years older than the previous brother \n" ); document.write( "B4 = x + 6 - next brother is 2 years older than the previous brother\r \n" ); document.write( "\n" ); document.write( "Sum of all their ages is 36:\r \n" ); document.write( "\n" ); document.write( "B1 + B2 + B3 + B4 = 36\r \n" ); document.write( "\n" ); document.write( "x + (x + 2) + (x + 4) + (x + 6) = 36 \n" ); document.write( "x + x + 2 + x + 4 + x +6 = 36 \n" ); document.write( "4x + 12 = 36 \n" ); document.write( "4x = 36 -12 = 24 \n" ); document.write( "x = 24/4 \n" ); document.write( "x = 6\r \n" ); document.write( "\n" ); document.write( "Now when we know the age of the youngest brother we can find ages of all 4:\r \n" ); document.write( "\n" ); document.write( "B1 = 6 \n" ); document.write( "B2 = 8 \n" ); document.write( "B3 = 10 \n" ); document.write( "B4 = 12\r \n" ); document.write( "\n" ); document.write( "Check: 6 + 8 + 10 + 12 = 36 \n" ); document.write( " |