Question

Divide 48 in two parts such that three times the greater part 10 less than four times the smaller part

Answer 1

Let the greater part be x , and smaller part be y
GIVEN ____
3x+10=4y -----------[1]
x+y =48 ------------[2]
From (1)
4y-3x =10 -----(3)
Multiplying eqn (2) with 3
3x+3y =144 --------(4)
ADDING EQN (3) & EQN (4)
7y =154
y =22
x=48 -y =48-22=26
Greater part =26
Smaller part = 22 .