Question

The sum of two consecutive multiples of 5 is 55. Find these multiples. [4 MARKS]

Answer 1

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

Let the first multiple of 5 be $x$.

Then the other multiple of 5 will be $x+5$ and their sum $=55$.

Therefore, $x+x+5=55$

$\Rightarrow 2x+5=55$

$\Rightarrow 2x=55-5$

$\Rightarrow 2x=50$

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

$\Rightarrow =25$

Therefore, the multiples of 5, i.e., $x+5=25+5=30$

Therefore, the two consecutive multiples of 5 whose sum is 55 are 25 and 30.