Q. When an integer is subtracted from 4 times the next consecutive odd integer, the difference is 5 . Find the value of the lesser integer.Answer:
Denote lesser integer as 'n': Let's denote the lesser integer as ''. The next consecutive odd integer can be represented as ' + 2' because odd integers are two units apart. According to the problem, 4 times the next consecutive odd integer minus the lesser integer equals 5. We can write this as an equation:4(n+2)−n=5
Represent next odd integer: Now, let's distribute the 4 into the parentheses: 4n+8−n=5
Write equation with integers: Next, we combine like terms on the left side of the equation: 4n−n+8=53n+8=5
Distribute 4 into parentheses: We then isolate the variable n by subtracting 8 from both sides of the equation:3n+8−8=5−83n=−3
Combine like terms: Finally, we divide both sides of the equation by 3 to solve for 'n':33n=3−3n=−1