sheena is 15 years younger than her brother shyam. Ten years from now shyam will be twice as old as sheena. find the present ages
Answers
Given :
- Sheena is 15 years younger than her brother shyam.
- Ten years from now shyam will be twice as old as sheena.
To find :
- Their present ages =?
Step-by-step explanation :
Let, the present age of Shyam's be, x
Then, the present age of Sheena's be, x + 15
After 10 years Sheen's age = x + 15 + 10
= x + 25
After 10 years Shyam's age = x + 10
According to question ,
➮ x+25 = 2(x+10)
➮ x+25 = 2x + 20
➮ 25 = 2x + 20 - x
➮ 25 = x+20
➮ 25 - 20 =x
➮ 5 = x
or x = 5
Therefore, We got the value of, x = 5 year's.
Hence,
Present age of Shyam's = 5 years
And, Present age of Sheena's = x + 15
= 5 + 15
= 20 years
Answer :
Present ages of Sheena and Shyam are 20 years and 5 years respectively.
Given:
➛Sheena is 15 years younger than her brother shyam.
➛Ten years from now shyam will be twice as old as sheena.
To Find:
Present ages of Sheena and Shyam.
Solution:
Let, The Present age of Shyam ( in Years ) = m
According to first condition,
Present age of Sheena = m + 15
Now , According to second condition,
After 10 years ,
Sheena's age = m + 15 + 10
Sheena's age = m + 25
Shyam's age = m + 10
➞m + 25 = 2( m + 10 )
➞m + 25 = 2m + 20
➞25 = 2m + 20 - m
➞ 25 = m + 20
➞ 25 - 20 = m
➞ 5 = m
i.e m = 5
Therefore,
Present age of Shyam = 5 years
and Present age of Sheena =
➞ m + 15
➞ 5+15
➞ 20 years
Present age of Sheena =20 years.