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Fill in the blanks to make each statement true.

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

1 Answer

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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.

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