Question
The average of the first and second numbers is 45, while
the average of the second and third numbers is 55. If the sum of the first and third numbers is 94, then find the first number.Solution
ATQ, Let, the 1st, 2nd and 3rd number be x, y, and z respectively. According to the question, x + y = 90 ... (1) y + z = 110 ... (2) From equation (1) and (2) z – x = 20.... (3) z + x = 94 ... (4) On solving equation (3) and (4), we get z - x = 20.......(3) x + z = 94.......(4) Adding these two equations: 2z = 114 z= 57 Substituting z = 57 into eq.(4) x + 57 = 94 x = 37
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