Question

the sum of the Sangeeta and her brother is 11 year . Sangeeta is 10 years younger than her brother . find her age

Answer 1

Let the age of Sangeeta be x and that of her brother's age be y

According to question,

Sangeeta's age + Brother's age = 11

=> x + y = 11 ---> ( Equation 1 )

Also, Sangeeta's age is 10 years less than her brother.

=> x = y - 10 ---> ( Equation 2 )

Substituting Equation 2 in Equation 1 we get,

=> y - 10 + y = 11

=> 2y - 10 = 11

=> 2y = 11 + 10

=> 2y = 21 years

=> y = 21 / 2 = 10.5 years

Hence the age of her brother is 10.5 years or 10 years 6 months.

Sangeeta's age ( x ) = y - 10

=> x = 10.5 - 10 = 0.5 years or 0 years 6 months.

Hence Age of Brother = 10.5 years and age of Sangeeta is 0.5 years.

Answer 2

Let the age of Sangeeta be x
the age of her brother is x + 10

x + x + 10 = 11

2x + 10 = 11

2x = 11 - 10

x = 1/2

the age of Sangeeta is 0.5 yrs
the age of her brother is 10.5 yrs