Question

Priya’s Father weights 70 kg. Her Mother weighs 14 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

Hint: Firstly, subtract 14kg from Fathers weight to get the value of Mother’s weight, then do the half of mother’s weight to get the value of Priya’s weight.

Complete step-by-step answer:

To solve the given question we will write the given data first, therefore,

Priya’s Fathers weight = 70kg ……………………………………………………………….. (1)

Also, Priya’s Mothers weight is 14 kg less than her father’s weight, therefore we can write,

Priya’s Mothers weight = Priya’s Fathers weight – 14

If we put the value of equation (1) in the above equation we will get, Therefore,

Priya’s Mothers weight = 70 – 14

By subtraction in the above equation we will get,

Therefore, Priya’s Mothers weight = 56 kg. …………………………………………….. (2)

Now, as we have given that Priya’s Mother is twice as heavy as Priya, therefore we can write,

Priya’s Mothers weight = 2 \[\times \] Priya’s weight

If we shift 2 on the left hand side of the equation we will get,

\[\dfrac{Priyas\text{ }Mothers\text{ }weight}{2}=\] Priya’s weight

If we rearrange the above equation we will get,

Therefore, Priya’s Weight = $\dfrac{56}{2}$

Therefore, Priya’s weight = 28 kg.

Therefore, the weight of Priya’s Mother is equal to 56 kg and Priya’s weight is equal to 28 kg.

Note: It’s not necessary to make this solution that much lengthy, you can directly get the answer by simple algebra if you are solving it in competitive exams.