Question

Some quintals of wheat and some quintals of bajri are cultivated from the field of Lalbhai.The yield of bajri is 5 quintals less than double the yield of wheat.If the total yield of both, wheat and bajri is 115 quintal, find the individual yield of wheat and bajri.

Answer 1

Suppose , the yield of wheat is x quintals.
$\therefore$ Cultivation of bajri is 5 quintals less than double the yield of wheat i.e (2x-5)
Total yield of both , wheat and bajri (x+(2x-5)) is 115 quintals .
$\therefore x+(2x-5)=115$
$\therefore x+2x=5=115$
$\therefore 3x-5=115$
$\therefore 3x=115+5$
$\therefore 3x=120$
$\therefore x=\frac{120}{3}$
$\therefore x=40$
$\therefore$ The yield of wheat is 40 quintals.
$2x-5=2\left(40\right)-5$
$=80-5$
$=75$
$\therefore$ The yield of bajri must be 75 quintals.