eleven less than, two third of the sum of twice a number and ninteen, is 95.find the number.
(2/3)(2x + 19) - 11 = 95
x = _____
70
To find the number, we need to break down the statement and solve step by step. Let's go through it together.
1. "Eleven less than" means subtract 11.
2. "Two-thirds of the sum of twice a number and nineteen" is calculated as (2/3) * (2x + 19), where x represents the number.
The given equation can be written as:
(2/3) * (2x + 19) - 11 = 95
To solve for x, we will follow these steps:
Step 1: Distribute 2/3 to the terms inside the parentheses:
(4/3)x + (38/3) - 11 = 95
Step 2: Simplify the equation by combining like terms:
(4/3)x + 5/3 = 95
Step 3: Subtract 5/3 from both sides of the equation:
(4/3)x = 95 - 5/3
(4/3)x = 285/3 - 5/3
(4/3)x = 280/3
Step 4: To isolate x, we need to multiply both sides of the equation by the reciprocal of (4/3), which is (3/4):
x = (280/3) * (3/4)
x = 280/4
x = 70
Therefore, the number we are looking for is x = 70.