Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
Ahemm ahemmm, *clearing throat*, vertical angles are just angles across from each other from a vertex point, so at the junction one is on one side and the other across the junction, and therefore equal.
Because the same segments is making them both, with the same opening.
Answer is 58, 3x19=57, remainder is 1 and 4x14=56, remainder is 2
