Question

The present age of Arjun's mother is 3 times the present age of Arjun, after 4 years their ages will add to 64 years.

Answer 1

Solution:-  

~Let the present age of

• ⇒ Arjun = x
• ⇒ Arjun's mother = 3x

So, After 4 years, their will be

• ⇒ Arjun = x + 4
• ⇒ Arjun's mother = 3x + 4

According to question,

~After 4 years their age will add = 64 yeaars

• ⇒ ( x + 4 ) ( 3x + 4 ) = 64
• ⇒ x + 4 +3x + 4 = 64
• ⇒ 4x + 8 = 64
• ⇒ 4x = 64 - 8
• ⇒ 4x = 56
• ⇒ x = 56/4
• ⇒ x = 14

Hence their age's will be

• ⇒ Arjun age = x = 14 years
• ⇒ Arjun's mother age = 3x = 14 × 3 = 42years