Question

divide 48 into two parts such that 3 times the greater part is 10 less than 4 times the smaller part

Answer 1

Let the greater part is x
The smaller part is (48-x)
A.T.Q
3x+10=4(48-x)
3x+10=192-4x
7x=182
X=26
The greater part is 26 and the smaller part is22

Answer 2

Let the smaller part be x.
Greater be y.

We have,
x+y=48--------(1)

And,

3y = 4x-10
4x-3y = 10------(2)

(1) and (2)

4x-3y =10
3x+3y=144 (Mult (1) by 3)
----------------
7x = 154

x= 22.

y =26.