(2) The weight of Manesh is 3 kg less than twice the weight of Bhavesh. In
their total weight is 78 kg, find the weight of both.
Answers
Let weight of Bhavesh be= x kg
then weight of Manesh= (2x-3) kg
Given their sum of weights= 78 kg
therefore,
x+2x-3= 78
3x-3= 78
3x= 78+3
3x= 81
x=81/3
x=27 kg
hence weight of Bhavesh= 27 kg
and weight of manesh = (2x-3)
= 2(27)-3
= 54-3
=51 kg
So you got your answer, hope it helps.
P.S.
It should be mass not weight because weight is when gravity acts on a body.
Step-by-step explanation:
Let Wm = weight of Manesh
Wb = weight of Bhavesh
Solution
Wm = 2Wb - 3kg Eq. 1
Wm + Wb = 78 kg Eq. 2
In Eq. 2 transpose Wm to the right side
Wb = 78 kg - Wm Eq. 3
Plug in Eq.3 to Eq.1
Wm = 2Wb - 3kg
Wm = 2(78 kg - Wm) - 3 kg
Wm = 156 kg - 2Wm - 3 kg
Combine like terms
Wm + 2Wm = 156 kg - 3 kg
3Wm = 153 kg
Divide both sides by 3
(3Wm)/3 = 153 kg/3
Wm = 51 kg Eq.4
Plug in Eq.4 to Eq.3
Wb = 78 kg - Wm
Wb = 78 kg - 51 kg
Wb = 27 kg
Therefore, the weight of Manesh is 51 kg while the weight of Bhavesh is 27 kg