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if $\dfrac{a}{b}=5$ then whats the minimum value of $a+b$ ?

you can only use positive integers and the divisor cannot be $1$

The answer is 12.

2 solutions

Uttkarsh Kohli
Jul 23, 2015

lets assume a=10, b=2 so you get 10/2=5 therefore a+b=12

[as 10,2 are the smallest numbers to get 5 if we divide them]

UPVOTE IF SATISFIED

$\frac 51 = 5$ , also $\frac {-5}{-1}$ = 5. The answer to this question is $-\infty$

Vishnu Bhagyanath - 5 years, 10 months ago

you are right i have changed the question

uttkarsh kohli - 5 years, 10 months ago

T Sidharth
Jul 23, 2015

$a=5b(from\quad the\quad given\quad equation)\\ \\ We\quad have\quad to\quad find\quad Value\quad of\quad a\quad +\quad b\\ \\ =>\quad a+b\quad =\quad 6b\\ Right\quad since\quad the\quad divisor\quad \neq \quad 1\\ \\ To\quad get\quad the\quad minimal\quad value\quad we\quad consider\\ b\quad =\quad 2\\ =>\quad a\quad +\quad b\quad =\quad 12\{ the\quad least\quad value\} \\ \\ \\$

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The answer is 12.

2 solutions

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