If a quantity is divided in the ratio of 5: 7, the larger part is 84. Find the quantity.

Let the quantity be x.

Then the two parts will be $\frac{5\mathrm{x}}{5+7}$ and $\frac{7\mathrm{x}}{5+7}$.

Hence, the larger part is 84, and we get:

$\frac{7\mathrm{x}}{5+7}$ = 84

⟹ $\frac{7\mathrm{x}}{12}$ = 84

⟹ 7x = 84 × 12

⟹ 7x = 1008

⟹ x = $\frac{1008}{7}$

⟹ x = 144

Therefore, the quantity is 144.