SOLUTION: A person asks 2 brothers about their age The older brother says : I am as old as twice his age when i was his age. The sum of their age is 42 Have been trying to figure it fo

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Question 1119849: A person asks 2 brothers about their age
The older brother says :
I am as old as twice his age when i was his age.
The sum of their age is 42
Have been trying to figure it for an hour now :D
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = younger brother’s.age now
Let b = older brother’s age now
———————————————————
(1) +a+%2B+b+=+42+
(1) +b+=+42+-+a+
The difference in their ages is +b+-+a+
———————————————————
Note that when the older brother was +a+
yrs old, the younger brother was +a+-+%28+b+-+a+%29+=+2a+-+b
And twice this age is +2%2A%28+2a+-+b+%29+=+4a+-+2b+
——————————————————
You are told that:
+b+=++4a+-+2b+
+3b+=+4a+
And
+3%2A%28+42+-+a+%29+=+4a+
+126+-+3a+=+4a+
+7a+=+126+
+a+=+18+
And
+b+=+42+-+a+
+b+=+42+-+18+
+b+=+24+
Older brother is 24
Younger brother is 18
———————————
Check
When older bro was 18, younger bro
Was +18+-+6+=+12+
Twice that is 24
That is older bros age now
OK