Question

The present age of Geetha is 1/3 of the present age of her mother. After 5 years, sum of their ages will be 46. Form a linear equation in one variable to find the present ages of Geetha and her mother. What are Geetha's and her mother's ages​

Answer 1

Answer:

Step-by-step explanation:

Present Age of Geetha = 1/3 of the present age of her mother.

After 5 years the sum of their ages = 46

Let Geetha's Mother Age be x

So,

Geetha's Age = 1/3 x x

After 5 years their Age =

x + 5 + 1/3x + 5 = 46

x + 1/3x = 46 - 10

x + 1/3x = 36

(x + 1/3x = x + x/3

Now making common denominator, =

x/ 1 = 3x/3

So,

3x/3 + x/3 = 3x + x/3

= 4x/3 = 36

Now multiplying both sides to cancel denominator

So,

4x/3 x 3 = 36 x 3

4x = 108

x = 108/4

x= 27

So ,

Geetha's  mother's present age  will be 27

Geetha's age will be 27/3 = 9

Answer 2

Step-by-step explanation:

see the attachment

i hope it is helpful for you