Question

4. Divide 1740 among XYZ such that x:y=5:3 and y:z=5:6​

Answer 1

Step-by-step explanation:

x : y=5 : 3

=5/3 : 3/3

=5/3 : 1

=(5/3) ×5 : 1×5

=25/3 : 5 (we have converted y into 5 instead of 3)

now given that y : z = 5 : 6

x:y:z=(25/3):5:6

=25:15:18 (Multiply by 3)

sum of ratios=25+15+18=58

share of X = (25/58) × 1740

= 25×30

= 750

share of Y = (15/58) × 1740

= 15 × 30

• = 450

share of Z = (18/58) × 1740

= 18 × 30

= 540