Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation 2.18 Word Problems - Numbers
One whole number is three times another. Together the numbers add up to 84. Find both numbers.
Let x be the first whole number.
Let 3x be the second whole number.
The two numbers add up to 84 :
x + 3x = 84
4x = 84
x = 21
3x = 63
Therefore the first number is 21 and second number is 63. Example:
One whole number is three times a second. If 20 is added to the smaller number, the result equals 6 more than the larger number. Find both numbers.
let the smaller number be s and larger number be l
l = 3s
s + 20 = l + 6
s + 20 = 3s + 6
14 = 2s
s = 7
l = 3s = 3x7 = 21 Example:
Separate 45 into two parts such that twice the smaller is 9 less than the larger.
Let x = the smaller part
Let 45 - x = the larger part
twice the smaller is 9 less than the larger:
2(x) = (45-x)- 9
2x = 45 - x - 9
3x = 36
x = 12 which is the smaller part
larger part = 45 - x = 45 - 12 = 33 Directions: Answer the following questions.