Question

5 years ago,the combined age of my mother and mine was 40 years.Now the ratio of our ages is 4:1. How old is my mother​

Answer 1

Answer:

done.

Step-by-step explanation:

take your age=x, then your mother is 4x

so, x-5+4x-5=40

so, 5x-10=40

x=10

4x=40

your mother is 40 years old

Answer 2

The age of mother is 40 years.

Given - Relation between ages

Find - Age of mother

Solution - Let the present age of mother and person be 4x and 1x. So, their ages five years ago were 4x - 5 and 1x - 5.

Now, representing the relation in equation form -

(x - 5) + (4x - 5) = 40

Now solving this equation for the value of x.

5x - 10 = 40

5x = 40 + 10

5x = 50

x = 50/5

x = 10

So, the age of person is 10 years.

Age of mother = 4x

Age of mother = 4*10

Age of mother = 40

Hence, the age of mother is 40 years.

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