# SOLUTION: Kate is three years less than twice as old as her brother Brett. Next year Bretts age will be three forths Kates age. How old are each?

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 Click here to see ALL problems on Age Word Problems Question 256726: Kate is three years less than twice as old as her brother Brett. Next year Bretts age will be three forths Kates age. How old are each? Answer by ankor@dixie-net.com(15649)   (Show Source): You can put this solution on YOUR website!let k = Kate's age now let b = Brett's age now : Write an equation for each statement: ; "Kate is three years less than twice as old as her brother Brett." k = 2b - 3 : "Next year Bretts age will be three fourths Kate's age." b + 1 = (k + 1) Multiply by 4, results; 4b + 4 = 3(k + 1) 4b + 4 = 3k + 3 4b = 3k + 3 - 4 4b = 3k - 1 Using the 1st equation, replace k with (2b-3) 4b = 3(2b-3) - 1 4b = 6b - 9 - 1 4b = 6b - 10 +10 = 6b - 4b 10 = 2b b = 5 yrs is Brett's present age then k = 2(5) - 3 k = 7 yrs is Kate's present age ; : Check solutions in the statement: "Next year Bretts age will be three fourths Kate's age." 5 + 1 = (7 + 1) 6 = *8