If LCM of 51 and 85 can be expressed in the form of 6z - 9 , then find the value of z .

CBSE Class 10 Maths PYQ · Real Numbers · Find lcm & hcf · 2 Marks · July 2025 · Standard

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432 Marks · July 2025 · Standard
If LCM of $51$ and $85$ can be expressed in the form of $6z - 9$, then find the value of $z$.
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$51 = 3 \times 17$, $85 = 5 \times 17$
LCM $(51, 85) = 3 \times 5 \times 17 = 255$
Now, $6z - 9 = 255$
$\Rightarrow z = 44$
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