Question 1141035
This part is not right:


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In how many years will Nick's age be in 1/5 of his father's age?
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Did you mean, In how many years will Nick be {{{1/5}}} of his father's age?



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Nick's age is 1/7 of his father's age. His father will be 61 years old in 5 years. 
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Ages n and 7n, Nick and Father.
{{{7n+5=61}}}
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{{{7n=61-5}}}
{{{7n=56}}}
{{{highlight_green(n=8)}}}
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Currently, Nick is 8 years old, and his father is 56 years old.



How many more years until  Nick is one-fifth the age of his father?
{{{8+x=(1/5)(56+x)}}}
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{{{40+5x=x+56}}}
{{{4x=56-40}}}
{{{4x=16}}}
{{{highlight(x=4)}}}
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answer:  In 4 more years.