Question

find the smallest number which on adding 13 to it is exactly divisible by 42 70? (1) 223 (2) 210 (3) 197 (4) 127​

Answer 1

Answer:

Step-by-step explanation:

Find the smallest number which on adding 13 to it is exactly divisible by 42,70.

Sσlutíσn :

42 = 2× 3×7

72= 2×2×2×3×3

\sf \implies \: lcm (42 \: and \: 72) = 2 {}^{3} \times 3 {}^{2} \times 7 {}^{1} = 504

We have to find the smallest number which when added to 10 is exactly divided by given numbers.

so, we will subtract 10 from the LCM.

504 - 10 = 494

Therefore,

Required no = 504

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