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

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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 .

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 .

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