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Question
The sum of two consecutive multiples of 10 is 210. The smaller multiple is ______.
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Solution
The sum of two consecutive multiples of 10 is 210. The smaller multiple is 100.
Explanation:
Let the two consecutive multiplies of 10 be 10x and 10x + 10.
According to the question,
10x + 10x + 10 = 210
⇒ 20x + 10 = 210
⇒ 20x = 210 – 10 ...[Transposing 10 to RHS]
⇒ 20x = 200
⇒ `(20x)/20 = 200/20` ...[Dividing both sides by 20]
∴ x = 10
Hence, the smaller multiple is 10 × 10, i.e. 100.
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