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My father's age divided by 5 is equal to my brother&rsquo;s age divided by 3. My brother is 3 years older than me. My father&rsquo;s age is 3 less than 2 times my age. How old is my father?

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My age: $x$
My brother is 3 years older than me: $x+3$
My father is 3 less than 2 times my age: $2 x-3$
My father's age divided by 5 is equal to my brother's age divided by 3: $(2 x-3) / 5=(x+3) / 3$
By cross multiplication:
$5(x+3)=3(2 x-3)$
$5 x+15=6 x-9$
$x=24$
My father's age: $2 \cdot 24-3=48-3=45$
by Diamond (80,748 points)

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