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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 _________. |
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Answer» 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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