Sunday, November 1, 2009
Problem for November 2, 2009
The sum of two numbers is twenty-six. The greater number is six more than four times the lesser number. What are the numbers?. Be sure to use a let statement to define the varibles you are using. Write an equation illustrating the situation given. Sove the equation step by step and label your answers clearly.
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Let a = the lesser number.
ReplyDeleteWhat expression then defines the greater number?
If a = the lesser number then 4a + 6 represents the greater number
ReplyDeleteThe equation would then be a + (4a + 6) = 26
ReplyDeleteCombine like terms 5a + 6 = 26
ReplyDeleteuse a (-6) on both sides of the equation to combine the constants. The resulting equation is then : 5a = 20. Using the inverse operation of multiplication, then divide both sides by 5 and the solution is a=4.
The lesser number is 4 and the greater number is then 22.
ReplyDelete