Question

mohans mother is 20 years older than him .ten years ago ,she was thrice times as old as mohan was then.find their present ages if you answer with steps l will make u as brainliest.​

Answer 1

Answer :

Present age of Mohan is 20 years and present age of his mother is 40 years.

Given :

• Mohan's mother is 20 years older than him.
• 10 years ago, she was thrice as old as Mohan was then.

To find :

• Their present ages.

Solution :

Consider,

• Present age of Mohan = x years.

His mother is 20 years older than him.

Then,

• Present age of his mother = (x+20) years.

10 years ago,

• Age of Mohan = (x-10) years
• Age of his mother = (x+20-10) = (x+10) years.

According to the question :-

• 10 years ago, she was thrice as old as Mohan was then.

→ x+10 = 3(x-10)

→ x + 10 = 3x - 30

→ x - 3x = -30 -10

→ -2x = -40

→ 2x = 40

→ x = 40/2

→ x = 20

★ Present age of Mohan = 20 years

★ Present age of his mother = (20+20) = 40 years.

Answer 2

Let ,

The age of mohan be " x "

Given ,

The age of Mohan's mother is 20 years older than him

Thus ,

Age of Mohan's mother = x + 20

Ten years ago ,she was thrice times as old as mohan was then

Thus ,

x + 20 - 10 = 3(x - 10)

x + 10 = 3x - 30

-2x = -40

x = -40/-2

x = 20

$\therefore$ The present ages of mohan and her mother are 20 years and 40 years