Reversity the digits of Ria's age gives the age of her mother.and the sum of their ages 11/3 the time difference between their ages. How old is Ria?
Answers
Answer:
Ria is 8 year old
Step-by-step explanation:
you can also try yourself by subtracting like this 11-3=8
The age of Ria is 12 years.
Given: Reversing the digits of Ria's age gives the age of her mother and the sum of their ages 11/3th times the difference between their ages.
To Find: The age of Ria.
Solution:
Let the age of Ria be = 10y + x
So, the age of her mother is = 10x + y
The sum of their ages = 10x + y + 10y + x
= 11x + 11y
The difference of their ages = 10x + y - ( 10y + x )
= 9x - 9y
According to the conditions given, we can frame an equation,
11x + 11y = 11/3 ( 9x - 9y )
⇒ 33x + 33y = 99x - 99y
⇒ 66x = 132y
⇒ x = 2y
So, if the value of y = 1, then the value of x = 2,
The age of Ria is = 10y + x = 10 × 1 + 2
= 12 years
Hence, the age of Ria is 12 years.
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