Question

Find the number such that when it is subtracted from each of $19,26,35and50$ so that reminders would be in proportion

Answer 1

Let the number to be subtracted be $a$
So, $19-a,26-a,35-a,50-a$ are in proportion.

$=>19-a:26-a::35-a:50-a$

Applying the rule product of extremes $=$ product of means

$(19-a)\times (50-a)=(26-a)\times (35-a)$

$950-19a-50a+a^2=910-26a-35a+a^2$

$950-69a=910-61a$

$40=8a$

$a=5$

Hence, $5$ needs to be subtracted from $19,26,35$ and $50$ such that they are in proportion.