Question

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of B and C is 8 years. Find out the age of B ?​

Answer 1

Aɴsᴡᴇʀ:

• The age of B = 40 years

Gɪᴠᴇɴ:

• A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of B and C is 8 years.

Nᴇᴇᴅ ᴛᴏ ғɪɴᴅ:

• The age of B = ?

Solution:

Let

• The present age of mother = y years.

Then,

• The present age of the person = 2/5 y years.

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ:

➥ (2/5 y + 8) = 1/2 y + 8

➥ 2 × (2y + 40) = 5 × (y + 8)

➥ 4y + 80 = 5y + 40

➥ 80 - 40 = 5y - 4y

➥ y = 40

Tʜᴇʀᴇғᴏʀᴇ:

• The age of B is 40 years.

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