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Answer :
x+4x+4x+23
9x+23=122
122-23=99
9\99=11
J=67
A=44
S=11
11+44+67=122 kg
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The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.
What is an Equation?
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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