Question 1153494: Three times Jack’s age +2 times Jill’s age equals 64. Jack is also two times Jill’s age. how old is Jack? Found 2 solutions by MathLover1, MathTherapy:Answer by MathLover1(20850) (Show Source):
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let Jack’s age be ,
Jill’s age
if three times Jack’s age + times Jill’s age equals , we have
......eq.1
if Jack is also two times Jill’s age, then Jack is:
.....eq.2
go to
......eq.1, substitute ......solve for
go to eq.2
.....eq.2, substitute
so, Jack is years old
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Three times Jack’s age +2 times Jill’s age equals 64. Jack is also two times Jill’s age. how old is Jack?
Let Jack's age be J, and Jill's L
Then 3J + 2L = 64 ----- eq (i)
Also, J = 2L ----- eq (ii)
3J + J = 64 ----- Substituting 2L for J in eq (i)
4J = 64
J, or