# SOLVING WORD PROBLEMS ON NUMBERS WORKSHEET

Problem 1 :

Twice a number is 500 more than six times the number. What is the number?

Problem 2 :

Three-sevenths of a number is 24. Find the number.

Solution

Problem 3 :

What number increased by ¼ of itself is equal to 30?

Solution

Problem 4 :

Find a number such that ¼ of the number is 50 less than 2/3 of the number.

Solution

Problem 5 :

The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the fraction is 3/8 . Find the fraction.

Solution

Problem 6 :

If 6 times a number is decreased by 6, the result is the same as when 3 times the number is increased by 12. Find the number.

Solution

Problem 7 :

Separate 84 into two parts such that one part will be 12 less than twice the other.

Solution

Problem 8 :

The difference between two numbers is 24. Find the numbers if their sum is 88.

Solution

Problem 9 :

One number is 3 times another number. If 17 is added to each, the first resulting number is twice the second resulting number. Find the two numbers.

Solution

Problem 10 :

The larger of two numbers is 1 less than 3 times the smaller. If 3 times the larger is 5 more than 8 times the smaller, find the numbers.

Solution

Problem 11 :

The second of three numbers is one less than the first. The third number is 5 less than twice the second. If the third number exceeds the first number by 12, find the three numbers.

Solution

Problem 12 :

One number is 4 more than 5 times another number. If 6 is added to each, the first resulting number is three times the second resulting number. Find the two numbers..

Solution

1)  -125

2) 56

3)  24

4)  120.

5)  15/40

6)  14.

7)  32 and 52

8)  32 and 76.

9) 17 and 51.

10) 8 and 23.

11)  18, 19 and 31.

12)  4 and 24.

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