Professor layton and the curious village help! Please?!


Question: Professor layton and the curious village help! Please!?
Puzzle 037

A boy and his big sister are sitting around the table chatting!.
"You know sis, if i took away two years from my age and gave them to you,youd be twich my age,huh!"

"well, why dont you just give me one more on top of that!? Then I'll be three times your age!?

So how old is each sibling!?


PLEASE HELP!!Www@Enter-QA@Com


Answers:
They're both 6!.

He loses 2 years he's 4
She gains 2 years she's 8

He loses 3 years he's 3
She gains 3 years she's 9Www@Enter-QA@Com

if b= age of brother
s = age of sister

take 2 away from b and give them to s, then s will be twice b
(s+2) = 2(b-2)
s+2 = 2b - 4
s = 2b - 6

give s one more to make it x3
(s+3) = 3(b-3)
s+3 = 3b - 9
s = 3b -12
and from before s = 2b -6
2b-6 = 3b - 12
-b = - 6
b = 6

brother is 6, sister is also 6Www@Enter-QA@Com



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