Respuesta :
Given
John is five years older than his sister.
Product of their present ages is 150
Find
Present age of John and his sister
Explanation
Let his sister's age be x
so, according to the question ,
John's age = 5 + x
product of their present age will be given as 150
so ,
[tex]\begin{gathered} x(x+5)=150 \\ x^2+5x=150 \\ x^2+5x-150=0 \\ x^2+15x-10x-150=0 \\ x(x+15)-10(x+15)=0 \\ (x+15)(x-10)=0 \\ x=-15,10 \end{gathered}[/tex]age never be negative , so neglect negative value .
hence , age of his sister = 10
and john's age = x + 5 = 15
Final Answer
Hence , John's present age is 15 years, and his sister's present age is 10 years.
