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Ali is 7 kg heavier than Anson, and Amir is 6 kg lighter than Anson. If their total mass is 163 kg, find the mass of Amir in kg.

Answer :

Answer:

Amir's mass is 48 kg.

Step-by-step explanation:

Let's assume the mass of Anson is x kg.

According to the given information:

Ali is 7 kg heavier than Anson, so Ali's mass is x + 7 kg.

Amir is 6 kg lighter than Anson, so Amir's mass is x - 6 kg.

The total mass of all three individuals is 163 kg:

Anson + Ali + Amir = x + (x + 7) + (x - 6) = 3x + 1 = 163

Now, we can solve this equation to find the value of x, which represents Anson's mass:

3x + 1 = 163

3x = 162

x = 54

Therefore, Anson's mass is 54 kg.

To find the mass of Amir, we substitute x = 54 into the expression for Amir's mass:

Amir = x - 6 = 54 - 6 = 48

Hence, Amir's mass is 48 kg.

Hope it helps!! :)

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