In the given problem, apply your knowledge in algebra and basic mathematics specially in solving word problem about linear equation and unknown variables.

The difference of the eight times a number and seven is seventeen. Find the number.

Let x is the number

8x - 7 = 17

8x = 17 + 7

8x = 24

x = 24/8

x = 3

Answer: 3

The sum of the three consecutive even integers is one hundred two. Find the integers.

Let

x → first even integer

x + 2 → second even integer

x + 4 → third even integer

x + x + 2 + x + 4 = 122

3x + 6 = 122

3x = 116

x = 116/3

x = 38.66

x + 2 = 40.66

x + 4 = 42.66

Answer: 38.66, 40.66, and 42.66

John’s age is seven more than thrice the age of Selina. 6 years ago, the difference of their ages was 33. Find the present age of John.

Let x is the age of Selina

John = 3x + 7

6 years ago

x - 6

3x + 7 - 6

(3x + 7 - 6) - (x - 6) = 33

3x + 1 - x + 6 = 33

2x + 7 = 33 - 7

2x = 26

x = 13

3x + 7 = 3(13) + 7

3x + 7 = 46

Answer: 46 years old

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