Bill, Phil, and Jenny are siblings. Bill is twice as old as Phil. Jenny is two years younger than Bill. Currently, their dad is twice as old as the sum of their ages. In nine years, Dad's new age will be equal to the sum of his three kids' new ages. What is Jenny's current age?
Let Phil's age =P
Bill's age =2P
Jenny's age =2P - 2
[P + 2P + 2P - 2] x 2 =D
[P + 2P + 2P - 2] +27 =D+9, solve for D, P
P = 4 years - Phil's age
2*4 =8 years - Bills's age
8 - 2 =6 years- Jenny's current age.
D =36 years - Dad's age.
18+27 =36 + 9
45 Years = 45 yeas - nine years from now.
2/b=p
b-2=j
p+b+j=2d
b+p+j=18
3p+2p-2=18 or 5p=20
20/5=4
Penny is 4 years old.
Mmm seems to be some disagreement here ://
Bill, Phil, and Jenny are siblings.
Bill is twice as old as Phil. 2P=B
Jenny is two years younger than Bill. B-2=J B=J+2
so
B=2P=J+2
2P=J+2
J=2P-2
Currently, their dad is twice as old as the sum of their ages. D=2(P+B+J)
In nine years, Dad's new age will be equal to the sum of his three kids' new ages.
D+9= P+B+J+27
D= P+B+J+18
But D=2(P+B+J)
therefore Dad is 36
P+B+J=18
P+2P+(2P-2)=18
5P-2=18
P=4 Phil is 4
Bill is 8
Jenny is 6
check:
Bill 8, Phil 4 , and Jenny 6 are siblings. Dad is 36
Bill is twice as old as Phil. yes
Jenny is two years younger than Bill. yes
Currently, their dad is twice as old as the sum of their ages. 2*(8+4+6)=36 yes
In nine years, Dad's new age will be equal to the sum of his three kids' new ages. What is Jenny's current age? 45=18+27 yes