The sum of two consecutive numbers with a difference of 5 is 55. Find the numbers. [4 MARKS]

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Solution

Forming the equation: 1 Mark
Steps: 2 Marks
Result: 1 Mark

Let the numbers be $x$ and $x + 5$

Therefore, $x + x + 5 = 55$

$\Rightarrow 2 x + 5 = 55$

$\Rightarrow 2 x = 55 - 5$

$\Rightarrow 2 x = 50$

$\Rightarrow x = \frac{50}{2}$

$\Rightarrow x = 25$

Therefore, the requirednumbers are $x = 25, a n d x + 5 = 30$

Therefore, the two numbers with a difference of 5 whose sum is 55 are 25 and 30.

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Q. The sum of

2

consecutive numbers is

55

find the numbers

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The sum of two consecutive numbers with a difference of 5 is 55. Find the numbers. [4 MARKS]

Forming the equation: 1 Mark Steps: 2 Marks Result: 1 Mark Let the numbers be x and x+5 Therefore, x+x+5=55 ⇒2x+5=55 ⇒2x=55−5 ⇒2x=50 ⇒x=502 ⇒x=25 Therefore, the requirednumbers are x=25,and x+5=30 Therefore, the two numbers with a difference of 5 whose sum is 55 are 25 and 30.