Question 55922: If Leah is 6 years older than her sister, Sue,and John is 5 years than Leah, and the total of their ages is 41. Then how old is Sue?
Found 2 solutions by stanbon, Edwin McCravy: Answer by stanbon(75887) (Show Source): Answer by Edwin McCravy(20056) (Show Source):
You can put this solution on YOUR website! If Leah is 6 years older than her sister, Sue,
and John is 5 years than Leah, and the total
of their ages is 41. Then how old is Sue?
Let x = Sue's age
>>...Leah is 6 years older than...Sue...<<
So Leah's age is Sue's age plus 6 or (x+6)
>>...John is 5 years than Leah...<<
So John's age is Leah's age plus 5 or (x+6)+5
>>...the total of their ages is 41...<<
So Sue's age plus Leah's age plus John's age
equals 41 OR
x + (x+6) + (x+6)+5 = 41
Solve that and get x=8
So Sue is 8, Leah is 6 years older, or 14,
and John is 5 years older than Leah, or 19.
Checking: 8+14+19 = 41
Edwin
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