04 Imp Name Reaction | Decarboxylation | Kolbe's Electrolysis | 11th 12th NEET IIT JEE |vikram hap

The average of thirteen numbers is 47. The average of the first three numbers is 39 and that of the next seven numbers is 49. The 11th number is two times the 12th number and 12th number is 3 less than the 13th number. What is the average of 11th and 13th numbers? तेरह संख्याओं का औसत 47 है | पहली तीन संख्याओं का औसत 39 है तथा अगली सात संख्याओं का औसत 49 है | 11वीं संख्या 12वीं संख्या से दोगुनी है तथा 12वीं संख्या 13वीं संख्या से 3 कम है | 11वीं और 13वीं संख्याओं का औसत ज्ञात करें |

Black widow and Hawkeye have teamed up and are having a good time in beating up Loki's army using their weapons. Black widow has n metallic charged spherical stones numbered from 1 to n. The charge on the i-th stone is equal to Ci. When she selects an inner stone(stone with index i, where 2≤ i ≤n−1) the charge of the chosen stone, the charge of the chosen stone Ci changes to C′i=Ci+1+ Ci-1− Ci . This process is called Synchronization operation. Hawkeye also has n charged arrows with charge Ti . Below given are the charges of the stones and arrows. If there exists a sequence of some synchronization operations, which transforms charges on Black widow’s stones equal to charges of corresponding Hawkeye’s arrows (that is, changes Ci into Ti for all i), they can together cause a big blast and kill the enemies. What is the value of x? Charges on Black widow’s stones: 4 5 7 2 5 11 8 6 Charges on Hawkeye’s arrows: 4 10 12 x 10 5 3 6

The average of thirteen numbers is 47. The average of the first three numbers is 39 and that of next seven numbers is 49. The 11^(th) number is two times the 12^(th) number and 12^(th) number is 3 less that the 13^(th) number. What is the average of 11^(th) and 13^(th) numbers ?