Question

Divide 34into two parts in such a way that 4/7of one part is equal to 2/5 of the other part

Answer 1

Let the two parts be a and b.

a+b=34

(4/7)a=(2/5)b

b=(10/7)a

a+b=34

a+(10/7)a=34

7a+10a=34*7

17a=238

a=14

b=(10/7)a=(10/7)14=20

The two parts are 14 and 20