3+3+3+.....15 times In this case, 3 is being added 15 times ∴ the sum is 3× Number of times added 3+3+3+.....15 times=3× 15=45 ...

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Operations on Variables

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Question

Match the following:

15 \times 3 = 45

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3 x = 21

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4 a^{3}

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Solution

$3 + 3 + 3 + . . . . .15 t i m e s$

In this case, $3$ is being added $15$ times

$∴$ the sum is $3 \times N u m b e r o f t i m e s a d d e d$

$⟹ 3 + 3 + 3 + . . . . .15 t i m e s = 3 \times 15 = 45$

Similarly, $x + x + x = 3 x = 3 \times 7 = 21$

[ $x = 7 g i v e n$ ]

and $a^{3} + a^{3} + a^{3} + a^{3} = 4 a^{3}$

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