Question

55.
A family has two children along with their
parents. The average of the weights of the
children and their mother is 50 kg. The
average of the weights of the children and
their father is 52 kg. If the weight of the
father is 60 kg, then what is the weight of the
mother?
(a)
48 kg
त
(b)
50 kg
(c)
52 kg
(d)
54 kg​

Answer 1

(d) 54 kgs

Step-by-step explanation:

Given that

Father weight (F) = 60kg

let's Mother weight = M kg

Children's weight = C kg ( two children's )

Given that, the average of the weights of the children and their mother is 50 kg.

=> ( C + M )/3 = 50

=> ( C + M ) = 50*3 = 150

C + M = 150 ------------(1)

and also,average of the weights of the children and their father is 52 kg.

=> ( C + F ) / 3 = 52

=> ( C + F ) = 156

=> C = 156 - F

=> C = 156 - 60 ( Since, F = 60 )

=> C = 96 kgs

To get the weight of mother, substitute C = 96 in equation (1)

=> C + M = 150

=> 96 + M = 150

=> M = 150 - 96

=> M = 54 kgs

Therefore, the Weight of Mother = 54 kgs

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