Question

Priya’s Father weighs $70\mathrm{kg}$. Her Mother weighs $14\mathrm{kg}$ less than her Father. What is her Mother’s weight? Priya’s Mother is twice as heavy as Priya. What is Priya’s weight?

Answer 1

Step 1. Determine the Priya's Mother's weight.

Priya’s Fathers weight $=70\mathrm{kg}$

Priya’s Mothers weight is $14\mathrm{kg}$ less than her father’s weight

$\begin{array}{rcl}\mathrm{Priya}’\mathrm{s}\mathrm{Mothers}\mathrm{weight}& =& \mathrm{Priya}’\mathrm{s}\mathrm{Fathers}\mathrm{weight}–14\\ & =& 70-14\\ & =& 56\mathrm{kg}\end{array}$

Step 2. Determine the Priya's weight.

$\begin{array}{rcl}\mathrm{Priya}’\mathrm{s}\mathrm{Mothers}\mathrm{weight}& =& 2\times \mathrm{Priya}’\mathrm{s}\mathrm{weight}\\ 56& =& 2\times \mathrm{Priya}’\mathrm{s}\mathrm{weight}\\ \mathrm{Priya}’\mathrm{s}\mathrm{weight}& =& \frac{56}{2}\\ & =& 28\mathrm{kg}\end{array}$

Hence, the Priya's Mother's weight is $56\mathrm{kg}$ and the Priya's weight is $28\mathrm{kg}$.