Question

If x represents the present age of father and y represents the present age of
son (in years). Find the equation ( in standard form )of the statement “Present
age of father is 5 more than 6 times age of the son”. Find two solutions of the
equation.​

Answer 1

Step-by-step explanation:

Equation → x=6y+5

Solutions → 1) x=5 and y=35

2) x=10 and y=65

Step-by-step explanation:

Present Age of father= x

Present Age of son= y

According to question,

x = 6y + 5x=6y+5

To find solutions,

1) Let y= 5

So, putting value of y in the equation

\begin{gathered}x = 6(5) + 5 \\ x = 30 + 5 \\ x = 35\end{gathered}

x=6(5)+5

x=30+5

x=35

Therefore, If the age of son is 5 years then the age if father is 35 years

2) Let y=10

So, putting value of y in the equation

\begin{gathered}x = 6(10) + 5 \\ x = 60 + 5 \\ x = 65\end{gathered}

x=6(10)+5

x=60+5

x=65

Therefore, If the age of son is 10 years then the age of after is 65 year