Larger number is x & smaller number is y.
According to question,
4x + 3y =71........(i)
and 2x = 5y + 3 (ii)
From equation (ii)
2x = 5y + 3
=2x-5y=3…………(iii)
Multiplying equation (iii) by 2 and subtracting it from equation (i), we get
Putting (y = 5) in equation (ii) we get,
2x = 5y + 3
=2x = (5 5) + 3 = 25 + 3 = 28
x=
Larger number 14 and smaller number 5.