Question

He age of father 10 years ago was thrice the age of his son. ten years hence, father's age will be twice that of his son. the ratio of their present ages is:

Answer 1

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Answer 2

Aɴsᴡᴇʀ:

• The ratio of their present age = 7:3

Gɪᴠᴇɴ:

• The age of father 10 years ago was thrice the age of his son. ten years hence, father's age will be twice that of his son.

Nᴇᴇᴅ Tᴏ Fɪɴᴅ:

• The ratio of their present age = ?

Solution:

Let,

The present age of Father and son be y and 3y years respectively.

10 ʏᴇᴀʀs ᴀɢᴏ:

• Present age of father = y + 10

• Present age of son = 3y + 10

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ɢɪᴠᴇɴ ǫᴜᴇsᴛɪᴏɴ:

(3y + 10) + 10 = 2 × (y + 10) + 10

➦ 3y + 20 = 2 × (y + 20)

➦ 3y + 20 = 2y + 40

➦ 3y - 2y = 40 - 20

➦ y = 20

Hᴇɴᴄᴇ:

• y = 20 years

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Tʜᴇʀᴇғᴏʀᴇ:

➦ The required ratio = (3y + 10) : (y + 10)

➦ The required ratio = 3(20) + 10 : 20 + 10

➦ The required ratio = 60 + 10 : 30

➦ The required ratio = 70 : 30

➦ The required ratio = 7 : 3

Tʜᴜs:

• The ratio of their present age = 7:3

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