The larger of two numbers is 5 less than twice the smaller number. The sum of four times the larger and twice the smaller number is 100. If x is the smaller number, which equation below determines the correct value of x?

Question

A) 2(2x + 5) + 4x = 100
B) 2(2x – 5) + 4x = 100
C) 4(2x + 5) + 2x = 100
D) 4(2x – 5) + 2x = 100

Answer 1

smaller number ---- x
"The larger of two numbers is 5 less than twice the smaller number"
---> 2x - 5

Now just translate:
"The sum " ---> +
"The sum of [four times the larger] and [twice the smaller number]
---> 4(2x-5) + 2x
" is 100" ---> = 100

4(2x – 5) + 2x = 100