Question

divide 54 into 2 parts so that 4 times the greater equals 5 times the smaller

Answer 1

Answer:

Let us divide 54 into 2 parts, say x and (54- x).

So 10 x + 22 (54-x) = 780 (given)

10 x + 22x54- 22x = 780

10 x +1188 - 22 x =780

10 x - 22x = 780 -1188

On simplification 12 x = 408

So x = 34 and 54-x = 54 - 34 = 20

So the 2 parts are 34 and 20.

The larger part is 34.