Question

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4. Thrice a number increased by 6 equals 39. Find the number.
5. Three-fourths of a number exceeds its one-third by 15. Find the number.
6. A number when divided by 4 is reduced by 21. Find the number.
[Hint. Let the required number be x. Then, = (x - 21).]
4
A number is as much greater than 36 as is less than 86. Find the number.
(Hint. Let the required number be x. Then x - 36 = 86 - x.)
A number exceeds its four-sevenths by 18. Find the number.
A number exceeds 20% of itself by 40. Find the number.​

Answer 1

Answer:

1. 11

2. 36

3. 28

4. 61

5. 42

6. 50

Step-by-step explanation:

1. 3x+6 = 39

3x = 39-6 = 33

x = 11

2. 3x/4 = x/3+15

5x/12 = 15

x = 36

3. x/4= x-21

x = 4x - 84

3x = 84

x = 28

4. x-36 = x-86

2x = 122

x = 61

5. x-18 = 4x/7

3x/7 = 18

x/7 = 6

x = 42

6. x=(0.2*x)+40

x-(0.2*x)=40

x-0.2x=40

0.8x=40 (since,1–0.2=0.8)

x=40/0.8

x=50