Question

Amam's age is three times his son's age.Ten years ago he was five times his son's age .Find their present age.​

Answer 1

Qᴜᴇsᴛɪᴏɴ :-

Aman's age is three times his son's age. Ten years ago he was five times his son's age .Find their present age.

ᴛᴏ ғɪɴᴅ :-

• Aman's present age
• Son's present age

sᴏʟᴜᴛɪᴏɴ :-

Let Aman's present age be x years and his son's age be y years.

then,

➦ According to 1st condition :-

• x = 3y. ---(1)

➦ According to 2nd condition :-

➠ 10 years ago

• Aman's = ( x - 10) years

• Son's age = (y -10) years

➮ ( x - 10) = 5(y - 10)

➮ x - 10 = 5y - 50

➮ x = 5y - 50 + 10

➮ x = 5y - 40. ---(2)

From (1) & (2) , we get

➮ 3y = 5y - 40

➮ 5y - 3y = 40

➮ 2y = 40

➮ y = 40/2

➮ y = 20

Put y = 20 in (1) , we get,

➮ x = 3y

➮ x = 3×20

➮ x = 60

Hence ,

• Aman's age = x = 60 years

• Son's age = y = 20 years