Robin is 25 years younger than his father. After 10 years, their ages will be in the ratio 1:2. Find their present ages.
Answers
Answer:
Step-by-step explanation:
hello dear,
let the age of robin = x
so, fathers age = x+25
according to question
after 10 years
x+10+x+25+10 = x+2x
2x +45 = 3x
45 =3x-2x
x = 45
robin's age = 45
father's age = 45+25= 70years
thank you.............
GIVEN
Robin is 25yrs younger than his father.
After 10yrs their ages will be in ratio 1:2
TO FIND Their Present Ages
SOLUTION
Let age of Robin be x
Then age of his father is x + 25
According to the Question ,
(x + 10) / (x + 25 + 10) = 1/2
=>( x + 10)/(x + 35) = 1/2
=> 2(x + 10) = x + 35
=> 2x + 20 = x + 35
=> 2x - x = 35 - 20
=> x = 15
If age Robin is 15yrs then age of his father is 15 + 25 = 40yrs (ANS)
VERIFICATION
Ages after 10yrs
Robin = 15 + 10 = 25yrs
Father = 40 + 10 = 50yrs
Ratio = 25:50 = 1:2 , which is given in data
Hence our answer is Correct