Question

Question 32

Fill in the blanks to make each statement true:

The sum of two consecutive multiples of 10 is 210. The smaller multiple is ................

Answer 1

100
Let the two consecutive multiples of 10 be 10x and 10x +10.
According to the equation,
10x+10x+10=210
$\Rightarrow 20x+10=210\Rightarrow 20x=210-10\Rightarrow 20x=200\Rightarrow \frac{20x}{20}=\frac{200}{20}\therefore x=10$
Hence, the smaller multiple is $10\times 10,$ i.e. 100.