grachael174 grachael174

19-02-2022
Mathematics

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Let a and b be two consecutive even natural numbers and let a²-b²=1236.Calculate the largest number of the two numbers

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akabane009 akabane009

19-02-2022

Answer:

Larger number is 618.5

Step-by-step explanation:

=> a = b + 1

=> a - b = 1

Now,

=> a² - b² = 1236

=> (a + b)(a - b) = 1236

=> (a + b)(1) = 1236

=> (a + b) = 1236

Now,

a + b = 1236

=> b + 1 + b = 1236

=> 2b = 1235

=> b = 617.5

=> a = 618.5

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