Question

rakhis mother is four times as old as Rakhi after 5 years her mother will be three times as she will be then find their present ages​

Answer 1

Step-by-step explanation:

1. Let age of Rakhi be X
2. and age of his mother be y
3. A/Q, 4X=Y_(i)
4. After five year

3(X+5)=Y+5_(ii)

by solving i and ii

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :- }}}}$

Rakhi is 10 years old and her mom is 40 years old.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Rakhi's mom's age = 4 times Rakhi's age

After 5 years = Her mom would be three times as she will be.

To Find :

Their Present ages

Solution :

Consider the Present ages as :

Her mom = 4x

Rakhi = x

Ages after 5 years will be =

Her mom = 4x + 5

Rakhi = x + 5

It is given that, her mom would be 3 times of her age after 5 years.

★ $\boxed{\sf{4x+5=3(x+5)}}$

$\sf{\implies} \: 4x + 5 = 3(x + 5)$

$\sf{\implies} \: 4x + 5 = 3x + 15$

$\sf{\implies} \: 4x - 3x = 15 - 5$

$\sf{\implies} \: x = 10$

$\rule{300}{1.5}$

★ Value of 4x

$\sf{\implies} \: 4 \times 10$

$\sf{\implies} \: 40$

$\rule{300}{1.5}$

$\therefore$ Rakhi is 10 years old and her mom is 40 years old.