mohans mother is 20 years older than him.ten years ago she was three times as old as mohan was then . find their present age.please write steps l have to submit please
Answers
Answer:
Mohan's age was x - 10 years. Mother's age was (x + 20) - 10 years. Therefore, Mohan's present age is 20 years. Therefore, Mother's age is 40 years.
Answer:
The present age of Mohan is 20 years
The present age of Mohan's Mother is 40 years.
Step-by-step explanation:
Let,
The present age of Mohan = x
The present age of Mohan's Mother = x + 20
10 years ago,
The age of Mohan = x - 10
The age of Mohan's Mother = x + 20 - 10
⇒ x + 20 - 10
⇒ x + 10
Also,
Mohan's Mother was three times as old as Mohan
So,
⇒ 3 (x - 10) = x + 10
⇒ 3x - 30 = x + 10
⇒ 3x - x = 10 + 30
⇒ 2x = 40
⇒ x = 40 / 2
⇒ x = 20
The present age of Mohan = 20 years
The present age of Mohan's Mother = x + 20
⇒ x + 20
⇒ 20 + 20
⇒ 40
Therefore,
The present age of Mohan is 20 years
The present age of Mohan's Mother is 40 years.