Question

14. Geetha's mother is four times as old as Geetha now. The sum of their present ages is 50.
Then Geetha's age is?
years old​

Answer 1

Answer:

Let the present age of Geeta = 'x' Years

Then her father's age will be = 3x Years.

After 5 years,

Geeta's age = (x + 5) Years

And her father's age = (3x + 5) Years.

After 5 years the difference between the ages of Geeta and her father = 30 years. However the difference between the ages of both will always remain 30 years, it cannot be changed.

According to the question,

$3x +5 - 30 = x + 5$

$3x - x = 30 - 5 + 5$

$2x = 30$

$x = 15$

Hence the present age of Geeta is 15 years.

Her father's age = 3 × 15 = 45 years.

Solution of question no. 2 :-

Let the number be 'x'

Then 15 more than three times the number = 3x + 15

ten less than six times the number = 6x - 10

Therefore, equation will be = 3x + 15 = 6x - 10

$3x - 6x = - 10 - 15$

$- 3x = - 25$

$3x = 25$

$x = \frac{25}{3}$

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