The sum of two consecutive multiples of 10 is 210. The smaller multiple is 100.
Let us assume the two consecutive multiples of 10 be 10x and 10x + 10.
So,
Sum of two consecutive multiples of 10 = 10x + 10x + 10 = 210
20x + 10 = 210
20x = 210 – 10
20x = 200
x = 200/20
x = 10
∴the two consecutive multiples of 10 are 10x = 10 × 10 = 100
10x + 10 = (10 × 10) + 10
= 110
Hence, the smaller multiple of 10 is 100.