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stira [4]
2 years ago
9

John is 6 years older than Keisha. Together, their ages equal four times Keisha's age. How old is each? (Note: There must be an

equation written using the variable x, and x must be solved.)
Mathematics
2 answers:
Naddik [55]2 years ago
6 0
Let x= Keisha
x+6= John
together means to add
x+x+6= 4x combine like terms
2x+6=4x
subtract 2x from both sides
6= 2x
divide both sides by 2
 3=x  Keisha's age
3+6= 9 John"s age

Proof  3+9= 4x3

hope this helps

borishaifa [10]2 years ago
4 0
<span>k= Keisha  
k + 6= John</span> <span>         
k + k + 6 =  4k</span> <span>  
2k + 6 ( - 2k) =  4k ( - 2k)</span> <span>              
6 = 2k</span> <span>           
3 = k    
(Keisha= 3 years old)</span> <span>         
k + 6 = 9    
(John = 9 years old)
</span>
3 + 3 + 6 = 4 (3) <span>         
12 = 12

</span><span>So we made the pawn represent Keisha’s age.  Then we knew that John is 6 years older than Keisha so we represented his age with a pawn plus 6. This went on 1 side of the equation because it said that together they equal 4 times Keisha’s age. So on the other side of the equation we put 4 pawns because we are using each pawn as Keisha’s age.  Then we subtracted the pawns from each side to keep the equation balanced.  So we had that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years old.  Since John is 6 years older than Keisha, he must be 9 years old.  We checked our work and substituted 6 in for each pawn and found that 12 equals 12, so our equation is balanced.
</span>
Hope this helps :)

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