Question

Father is three times son’s age and the sum of their ages is 100.Find son’s age.​

Answer 1

Answer:

36 the age of son will be 36

Answer 2

$\red{ \ Question}$

ꜰᴀᴛʜᴇʀ ɪꜱ ᴛʜʀᴇᴇ ᴛɪᴍᴇꜱ ꜱᴏɴ’ꜱ ᴀɢᴇ ᴀɴᴅ ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴛʜᴇɪʀ ᴀɢᴇꜱ ɪꜱ 100.ꜰɪɴᴅ ꜱᴏɴ’ꜱ ᴀɢᴇ.❓

$\red{ \ Answer}$

ꜱᴏɴꜱ ᴀɢᴇ ɪꜱ 25 ʏᴇᴀʀꜱ ᴀɴᴅ ꜰᴀᴛʜᴇʀ'ꜱ ᴀɢᴇ ɪꜱ 75 ʏᴇᴀʀꜱ.

✨step - by - step - explanations

✔️${ \ Let \ son's \ age \ be \ x.}$

✔️${ \ Father's \ age \ = \ 3 \ times \ son \ age \ = \ 3x.}$

✔️${ \ Sum \ of \ their \ ages \ = \ 100 \ yrs.}$

So,

$\tt{\implies}$ ${ \ 3x \ + \ x \ = \ 100 \ yrs}$

$\tt{\implies}$ ${ \ 4x \ = \ 100 \ yrs}$

$\sf\implies x= \dfrac{\cancel {100}^{25}}{ \cancel {4}_1}$

$\tt{\implies}$ ${ \ x \ = \ 25 \ yrs}$

${ \ son \ age \ = 25 \ years}$

${ \ = \ 3x \ = \ 3x \ 25 \ = \ 75 \ years}$

$\red{ \ hope \ it's \ helps \ you}$