Question

mala's age is 6 times monica's age. after 15 years mala will be 3 times as old as monica find their present ages

Answer 1

Answer:

Step-by-step explanation:

Let Monica's present age be 'x'.

Mala's age= 6x

After 15 years:-

Mala= 6x + 15

Monica= x + 15

∴ Mala= 3 (x + 15)= 3x + 45

Equation:

3x + 45 = 6x + 15

3x = 6x + 15 - 45

3x = 6x + -30

3x - 6x = -30

-3x = -30

x = -30/-3 = *10*

.... x = 10 ....

∴ Their present ages are: Monica = 10 years

                                           Mala = 6*10 = 60 years

Answer 2

$\mathfrak{Answer:}$

Monica's age = 10 years.

Mala's age = 60 years.

$\mathfrak{Step-by-step\:explanation:}$

Let the Monica's age be x years.

So the Mala's age = 6x years.

After 6 years,

• The Monica's age = ( x + 15 ) years.
• The Mala's age = ( 6x + 15 ) years.

According to question,

$\implies\bold{(x+15)3=6x+15}\\\\\\\implies\bold{3x+45=6x+15}\\\\\\\implies\bold{6x-3x=45-15}\\\\\\\implies\bold{3x=30}\\\\\\\implies\bold{x=\dfrac{30}{3}=10.}\\\\\\\boxed{\boxed{\bold{Monica's\:age = 10\;years\:\&\:Mala's age = 60\:years.}}}$