Question

10 years ago, age of sulochana's mother was 4 times the age of sulochana. After 10 years her age will be twice of sulochana's age. What is the age of sulochana today?

Answer 1

Answer:

sulochan is 20 years old

Step-by-step explanation:

let the present ages off sulochan and his mother be X and Y years respectively

10 years ago

sulochan age y—10

Sulochan mother's age x—10

now as per condition

x—10=(y—10)4

x—10=4y—40

x—4y=—30 ---------------(1)

after 10 years

sulochan age is equal to Y + 10

sulochan smother se is equal to X + 10

also,

x+10=(y+10)2

x+10=2y+20

x—2y=10 -------------------(2)

subtract equation 1 from 2

x—4y=—30

x—2y=10

— + —

—2y=—40

y=20

put value of Y in equation 2

x—2(20)=10

x—40=10

x=40+10

=50

present age of sulochan is 20 years,.