Question

डिवाइड 60 इनटू थ्री पार्ट्स सुच ठाट फर्स्ट विल बी थ्री अपॉन फोर ऑफ द सेकंड एंड द सेकंड विल बी 4.5 ऑफ द थर्ड ​

Answer 1

Question: Divide 60 into 3 parts such that first will be 3/4 of the second and the second will be 4.5 of the third.

Answer:

Let the third part = x

second part is 4.5 of the third.

⇒ second part = 4.5x = 9x/2

first is 3/4 of the second

⇒ first part = 3/4 × 4.5x = 3/4 × 9x/2 = 27x/8

Sum = 60

⇒ 27x/8 + 9x/2 + x = 60

⇒ (27x + 36x + 8x)/ 8 = 60

⇒ 27x + 36x + 8x = 60×8

⇒ 71x = 480

⇒ x= 480/71 = third part

second part = 9x/2 = 9×480/(71 ×2) = 2160/71

first part = 27x/8 = (27×480)/(71×8) = 1620/71

Answer 2

Step-by-step explanation:

Let the third part = x

second part is 4.5 of the third.

⇒second part = 4.5x = 9x/2

first is 3/4 of the second

⇒ first part = 3/4 x 4.5x = 3/4 x 9x/2 = 27x/8

Sum = 60

⇒ 27x/8 + 9x/2 + x = 60

⇒ (27x + 36x + 8x)/ 8 = 60

➡27x + 36x + 8x = 60x8

⇒ 71x = 480

⇒x= 480/71 = third part

second part = 9x/2 = 9×480/(71 x2) = 2160/71

first part = 27x/8 = (27×480)/(71×8) = 1620/71