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Question-192179




Question Number 192179 by MWSuSon last updated on 10/May/23
Commented by MWSuSon last updated on 10/May/23
I've been trying really hard to find a pattern for the numbers. Been on it for hours still can't seem to find it.
Commented by AST last updated on 10/May/23
12×10=120                                            21×10=210  ((120)/8)=15=3×5                                       ((210)/2)=105=7×15  ⇒3×8×5=12×10                            7×2×15=21×10
$$\mathrm{12}×\mathrm{10}=\mathrm{120}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{21}×\mathrm{10}=\mathrm{210} \\ $$$$\frac{\mathrm{120}}{\mathrm{8}}=\mathrm{15}=\mathrm{3}×\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{210}}{\mathrm{2}}=\mathrm{105}=\mathrm{7}×\mathrm{15} \\ $$$$\Rightarrow\mathrm{3}×\mathrm{8}×\mathrm{5}=\mathrm{12}×\mathrm{10}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{7}×\mathrm{2}×\mathrm{15}=\mathrm{21}×\mathrm{10} \\ $$
Commented by MWSuSon last updated on 10/May/23
Thanks a lot. i would never have deduced it.

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