let
x---------> Aviva’s age
y--------->Kanti’s age
z--------> Lakshmi’s age
we know that
y=x-3-----> equation 1
z=2*y-----> equation 2
substitute equation 1 in equation 2
z=2*(x-3)
so
Aviva’s age------> x
Kanti’s age-------> x-3
Lakshmi’s age----> 2*(x-3)
therefore
the answer is the option
b) 2(x-3)
Go to www.khanaccedmy.com, that will help you.
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
