Question

Aiden weighs 39 pounds less than his older brother, Jacob. Jacob weighs more than 100 pounds. what could be the weight of the Two brothers?

Answer 1

Answer:

Let x represents the weight of Aiden in pounds,

∵ Aiden weighs 39 pounds less than his older brother, Jacob.

So, weight of jacob = x + 39,

According to the question,

Jacob's weight is more than 100 pounds. ( i.e. 101, 102 or etc.. )

x + 39 > 100 ----(1)

x > 100 - 39

x > 61 ----(2)

Hence, Aiden weighs more than 61 pounds. ( i.e. 62, 63 or etc.. )

Adding equation (1) and (2),

x + 39 + x > 161

Jacob's weight + Aiden's weights > 161

Therefore, the combined weight of two brother is more than 161 pounds i.e. 162, 163 or etc...

Answer 2

If A=Aiden’s weight and J=Jacob’s weight, so A=J-39 or J=A+39.
J>100 so A+39>100, and A>61 pounds.
A+J>>61+100, A+J>>161. Or, A+J=2J-39=2A+39>161.
If A=62, J=101, so A+J=163 pounds.
Therefore we can say their combined weights will 161 pounds, and 163 pounds would be a typical weight.