John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person​

x+4x+4x+23

9x+23=122

122-23=99

9\99=11

J=67

A=44

S=11

11+44+67=122 kg

The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that

Let j , a and s be the weights of John, Amelia and Sonia respectively.

John is 23 kg heavier than Amelia.

j = a + 23

Amelia is four times as heavy as Sonia.

a = 4s ⇒ s = a/4

Their combined weight is 122.

j + a + s = 122

Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,

(a + 23) + a + (a/4) = 122

2a + a/4 + 23 = 122

9a/4 = 122 - 23

2.25a = 99

a = 44

j = 44 + 23 = 67

s = 44/4 = 11

Hence the weight of each person is 67 kg, 44 kg and 11 kg.

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