The total weight of a father and his son is 7 | vedclass

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Question

(A) Let the weight of the father be $x \, kg$ and the weight of the son be $y \, kg$.According to the problem,the total weight is $x + y = 70$ (Equati

Vedclass · Accepted Answer

Father: $60 \, kg$,Son: $10 \, kg$

Vedclass · Answer

(A) Let the weight of the father be $x \, kg$ and the weight of the son be $y \, kg$.According to the problem,the total weight is $x + y = 70$ (Equation $1$).The weight of the son is one-sixth of the father's weight,so $y = \frac{1}{6}x$,which implies $x = 6y$ or $x - 6y = 0$ (Equation $2$).Substitute $x = 6y$ into Equation $1$:$6y + y = 70$$7y = 70$$y = 10 \, kg$.Now,substitute $y = 10$ into $x = 6y$:$x = 6 	imes 10 = 60 \, kg$.Therefore,the father's weight is $60 \, kg$ and the son's weight is $10 \, kg$.

The total weight of a father and his son is $70 \, kg$. The weight of the son is one-sixth of the weight of his father. Find the weight of the father and the son.

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