The sum of two consecutive multiples of 10 is 210. The smaller multiple is _________. Fill in the blanks to make the statement true.

Solution:

Given, the sum of two consecutive multiples of 10 is 210.

The smaller multiple is _____.

We have to fill in the blanks to make the statement.

Let the two consecutive multiples of 10 be 10x and 10x + 10.

According to the question,

10x + 10x + 10 = 210

20x + 10 = 210

By grouping of common terms,

20x = 210 - 10

20x = 200

x = 200/20

x = 10

Now, 10x = 10(10) = 100

Therefore, the smaller multiple is 100.

✦ Try This: The sum of two consecutive multiples of 11 is 231. The smaller multiple is _________. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 32

The sum of two consecutive multiples of 10 is 210. The smaller multiple is _________. Fill in the blanks to make the statement true.

Summary:

The sum of two consecutive multiples of 10 is 210. The smaller multiple is 100.

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