Question

Kamla is 4 times as old as her son.5 years ago her son was 1/7 of her age. What is kamla 's age now

Answer 1

40 Years

Explanation:

Let us assume Kamla's present age is K, and her son's present age is S.

It is given that in present, Kamla is 4 times as old as her son. This means that her age will be 4 times his son's age.

So, K = 4S, Equation 1

It is also given that 5 years ago, her son's age was 1/7 of her age. So, Kamla's age 5 years ago will be K-5, and similarly, her son's age 5 years back will be S-5.

But son's age is 1/7 Kamla's age.

So (K-5)/7 = (S-5), Equation 2

Let us simplify Equation 2.

K - 5 = 7S-35

K+35-5=7S

K+30=7S

Substituting Equation 1.

4S + 30 = 7S

30=7S-4S

30=3S

S=10

We got Son's present age. So, Kamla's present age = K = 4S = 4*10 = 40 Years.

Answer 2

Answer:

40 years

Explanation:

Let be kamla's present age is K, and son's present age is S.

K=4s , equation 1

But son's age is 1/7 of kamla's age

So, (K-5)/7 = (S-5)/7 , equation 2

Let us simplify equation 2

K-5=7S-35

K+35-5=7S

K+30=7S

Substituting equation 1

4S+30=7S

30=7S-4S

30=35

S=10

Therefore son's present age is 10.

So, Kamla's present age is

K=4S

=4×10

=40 years