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 10-21-2007 #1 Shanelle Guest   Posts: n/a Homework help please! Hi. I have a two sided math sheet, and neither sides make sense. I'll write out the first question from each side. Mrs. Wang is 23 years older than her daughter. In 5 years, their ages will total 63. How old are they now? And... Find two consecutive integers whose sum is 45. If anyone could write out the work for these so I could teach myself, I'd be forever grateful! Thanks, Shanelle
 10-22-2007 #2 Temperal Guest   Posts: n/a Number One: Show more: Let Mr's Wang's age be x and her daughter's be y. Since Mrs. Wang is 23 years older than her daughter, x=y+23 Since in 5 years, their ages will total 63, x+5+y+5=63 Now, from the first equation, we can substitute in y+23 for x in the second. y+23+5+y+5=63 2y+33=63 2y=30 y=15 x=15+23 x=38 So, Mrs. Wang is 38; her daughter is 15. Number Two: Show more: Let the smaller number be a. Since they're consecutive, the larger one is a+1. Thus, a+a+1=45 2a+1=45 2a=44 a=22 Thus, the numbers are 22 and 23.

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