The sum of beena age and one third of her mother age is 26 years if her mother is30 years older then beena what is the present age of beena
Answers
Answer:
Present age of Beena is 12 years.
Step-by-step explanation:
Given,
Beena's mother is 30 years older than Beena.
It means : Age of Beena's mother = Age of Beena + 30 years
Let Beena's age be a years.
So, Age of Beena's mother should be ( a + 30 ) years.
Given,
Sum of Beena's age and one third of her mother's age is 26 years.
= > a years + 1 / 3 of ( a + 30 ) years = 26 years
= > a + 1 / 3 x ( a + 30 ) = 26
= > a + ( a + 30 ) / 3 = 26
= > ( 3a + a + 30 ) / 3 = 26
= > 4a + 30 = 3 x 26
= > 4a + 30 = 78
= > 4a = 78 - 30
= > 4a = 48
= > a = 48 / 4
= > a = 12
Hence the present age of Beena is 12 years.
Step-by-step explanation:
let beena's age be x
Beena's mother's age =(x+30 ) years
expression-
x+1/3(x+30)=26 years
3x+1/3(x+30)×3=26×3
3x+x+30=78
4x+30=78
4x=78-30
4x=48
4x/x=48/4
x=12
hence, the present age of Beena is 12 years
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