SOLUTION: Ramjan's father is 8 times the age of Ramzan. After 2 years, father will be 2 years less than 6 times Ranjan's age. find their present age.

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Question 1134886: Ramjan's father is 8 times the age of Ramzan. After 2 years, father will be 2 years less than 6 times Ranjan's age. find their present age.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Write an equation for each statement; j = Ramjan; z = Ramzan
:
Ramjan's father is 8 times the age of Ramzan.
j = 8z
After 2 years, father will be 2 years less than 6 times Ranjan's age.
j + 2 = 6(z+2) - 2
j + 2 = 6z + 12 - 2
j = 6z + 10 - 2
j = 6z + 8
replace j with 8z, from the first statement
8z = 6z + 8
8z - 6z = 8
2z = 8
z = 4 yrs is Ramzan's age
then
8*4 = 32 yrs is Ramjan's age
:
:
Check in the statement
"After 2 years, father will be 2 years less than 6 times Ranjan's age."
32 + 2 = 6(4 + 2) - 2
34 = 6(6) - 2