Question

The weight of a person increases as they move away from the equator why​

Answer 1

`\textbf {Allow me to assist you.}`

`\textrm {We know that the gravity due to acceleration is greater at the poles,}\\\textrm {and lower at the equator.}`

`\textrm {The formula for weight is :}\\\implies \boxed {weight = mass * g}`

`\textrm {Since g is lowest at the equator, as you move away from the equator, }\\\textrm {the weight of a person will increase.}`

Answer 2

Answer is for two reasons.
There are two effects, both due to the spin of the Earth. 'Centrifugal force' due to the spinning lowers your body weight at the equator compared to its weight at the poles. The Earth's spin also causes the planet to bulge, so that at the equator you're further from the Earth's center of gravity and so you weigh less.