If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407000, then the greater number will be:

70 63 77 84

70

Ratio of two numbers is  =  4 : 7 ATQ , (4R)3 + (7R)3 = 407000 64R3 + 343R3 = 407000 407R3 = 407000 R = 10 So , greater number is = 7R = 70