The average rainfall of January, February, and March was 280 mm. The average rainfall of February, March, and April was 282 mm. If the rainfall in April was 284 mm, what was the rainfall in January?

The average rainfall of January, February, and March was 280 mm. The average rainfall of February, March, and April was 282 mm. If the rainfall in April was 284 mm, what was the rainfall in January? Correct Answer 278

Given∶

The average rainfall of January, February, and March was 280 mm.

The average rainfall of February, March, and April was 282 mm.

The rainfall in April was 284 mm.

Formula Used∶

Sum of observations = Average × No. of observations.

Calculation∶

Sum of rainfall on Jan, Feb and March = 280 × 3 = 840 mm   ----(1)

Sum of rainfall on Feb, March and April = 282 × 3 = 846 mm   ----(2)

Rainfall in April = 284 mm   ----(3)

∴ The rainfall on January = (840 + 284 – 846) mm = 278 mm

∴ The rainfall in January was 278 mm

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