twice a number is as much greater than 30 as the three times of the number less than 60.find the number.
Answers
Answered by
2
Let the number be x. "Three times a number increased by 10" is mathematically translated as
3x + 10
"is equal" is mathematically translated as
=
"Twenty less than six times the number" is mathematically translated as
6x - 20
The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as
3x + 10 = 6x - 20
We now solve the above linear equation to find the number x
3x - 6x = - 20 - 10
- 3x = - 30
x = 10
Check answer
Three times a number increased by ten : 3 × 10 + 10 = 40
Twenty less than six times the number : 6 × 10 - 20 = 40
If twice the difference of a number and 3 is added to 4, the result is 22 more than four times the number. Find the number.
Solution
Let the number be x. "twice the difference of a number and 3 is added to 4" is mathematically translated as
2(x - 3) + 4
"the result is" is mathematically translated as
=
"22 more than four times the number" is mathematically translated as
4x + 22
"twice the difference of a number and 3 is added to 4, the result is 22 more than four times the number" is mathematically translated as
2(x - 3) + 4 = 4x + 22
Solve the equation
2x - 6 + 4 = 4x + 22
2x - 4x = 22 - 4 + 6
-2x = 24
x = -12
Similar questions