Question

Neelam's mother's present age is six times Neelam's present age. Neelam's age five year from now will be the one third of her mother's present age. What are their ages * 4 years and 24 years 3 years and 18 years 5 years and 30 years 7 years and 42 years​

Answer 1

Given:

• Neelam's mother's present age is six times Neelam's present age.

• Neelam's age five year from now will be the one third of her mother's present age.

To find:

• Their present ages.

Solution:

Let us assume that the present age of Neelam and his mother be x and 6x.

From the question,we have

$\sf \rightsquigarrow \: \: {(x + 5) = \frac{1}{3} \times 6x}$

$\sf \rightsquigarrow \: \: {x + 5 = 2x}$

$\sf \rightsquigarrow \: \: {x = 5}$

$\therefore \sf{ \: Present \: age \: of \: Neelam = x = 5yrs}$

$\sf{ \: Present \: age \: of \: Neelam's \: mother = 6x =(5 \times 6 )= 30yrs.}$

Answer 2

$\huge\purple{ \underline{ \boxed{\mathbb\colorbox{cyan}{\red{QUESTION : }}}}}$

Neelam's mother's present age is six times Neelam's present age. Neelam's age five year from now will be the one third of her mother's present age. What are their ages ?

1. 4 years and 24 years

2. 3 years and 18 years

3. 5 years and 30 years ( ✓ )

4. 7 years and 42 years

$\huge\purple{ \underline{ \boxed{\mathbb\colorbox{cyan}{\red{ANSWER : }}}}}$

3. 5 years and 30 years ( ✓ )

$\huge\purple{ \underline{ \boxed{\mathbb\colorbox{cyan}{\red{EXPLANATION : }}}}}$

$\green{ \large \underline{ \mathbb{\underline{GIVEN : }}}}$

• Neelam's mother's present age is six times Neelam's present age.

• Neelam's age five year from now will be the one third of her mother's present age.

$\green{ \large \underline{ \mathbb{\underline{TO \: FIND : }}}}$

• Their present ages .

$\green{ \large \underline{ \mathbb{\underline{SOLUTION: }}}}$

Let Neelam's present age as x .

Then her mother's present is 6x .

$\red{ \underline{\underline{\bf \: According \: to \: question : }}}$

$\displaystyle \longrightarrow\bf x + 5 = \frac{1}{3} \times 6x \\ \\ \\ \displaystyle \longrightarrow\bf x + 5 = 2x \: \: \: \: \: \: \: \: \\ \\ \\ \displaystyle \longrightarrow\bf5 = 2x - x \: \: \: \: \: \: \: \: \\ \\ \\ \displaystyle \longrightarrow\bf5 = x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \displaystyle \longrightarrow\bf x = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\purple{ \boxed { \begin{array}{l}\sf Present \: age \: of \: Neelam = x = 5 \: years \\ \\ \sf Present \: age \: of \: Neelam's \: mother = 6x = 30 \: years\end{array}}}$