Correct Answer - Option 1 : 9
Calculation:
Let the three consecutive integers be x, x + 1 and x + 2 respectively
According to the question
⇒ 2x + 3(x + 1) + 4(x + 2) = 74
⇒ 2x + 3x + 3 + 4x + 8 = 74
⇒ 9x + 11 = 74
⇒ 9x = 74 – 11
⇒ 9x = 63
⇒ x = 63/9
⇒ x = 7
Thus, the integers are:
First integer. = x = 7
Second integer = x + 1 = 8
Third integer = x + 2 = 9
∴ The greatest number is 9