Question

if a quantity is divided in the ratio 5:7 the largest part is 84.find the quantity with step by step explanation

Answer 1

Let the quantity be x.

Then the two parts will be 5x5+75x5+7 and 7x5+77x5+7.

Hence, the larger part is 84, we get

7x5+77x5+7 = 84

⟹ 7x127x12 = 84

⟹ 7x = 84 × 12

⟹ 7x = 1008

⟹ x = 1008710087

⟹ x = 144