Question 161137
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{{{B=x}}}, no of bb cards of Ben
{{{R=2+3x}}},no. of bb cards of Rita - 2 more 3 times than Ben
Condition:
If Rita gives 12 cards, they have equal number of bb cards.
Putting into eqn,
{{{R-12=B+12}}} -------> working eqn
{{{2+3x-12=x+12}}}
{{{3x-x=12+12-2}}}
{{{2x=22}}} ----> {{{cross(2)x/cross(2)=cross(22)11/cross(2)}}}
{{{x=11}}} no. of cards originally Ben has
For Rita, {{{2+3*11=2+33=highlight(35cards)}}} ANSWER (original no. of bb cards)
Check via condition:
{{{R-12=B+12}}}
{{{35-12=11+12}}}
{{{23=23}}} same numbers of bb cards
Thank you,
Jojo</pre>