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## a mother is twice as old as her daughter 5 years from now she will be thrice as old as her daughter how old is the mother five years from no

Question

a mother is twice as old as her daughter 5 years from now she will be thrice as old as her daughter how old is the mother five years from now

Representation:

equation:

solution:

answer:

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Mathematics
2 months
2021-07-19T19:42:55+00:00
2021-07-19T19:42:55+00:00 1 Answers
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## Answers ( )

Answer:Let’s define the variables:

M = mother’s age

D = daughter’s age.

“a mother is twice as old as her daughter”

This can be written as:

M = 2*D

“5 years from now she will be thrice as old as her daughter”

(M + 5) = 3*D

We want to know how old is the mother five years from now.

First, our equations are:

M = 2*D

(M + 5) = 3*D

First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother’s age, we should isolate the daughter’s age.

Let’s isolate D in the first equation:

M/2 = D

Now we can replace this in the other equation:

Now we can replace this on the other equation:

(M + 5) = 3*(M/2)

M + 5 – (3/2)*M = 0

-(1/2)*M + 5 = 0

5 = (1/2)*M

2*5 = M = 10

So the mother is 10 years old (this hasn’t a lot of sense, maybe there is a wrong number on the question)

and 5 years from now, the mother will be:

10 + 5 = 15 years old.