Q3 of 58 Page 44

Let us express the following statements into simultaneous linear equations:

Sum of two numbers is 80 and thrice of the difference of those two numbers is 20 more than the larger number.

Let smaller number is x and larger number is y.


Given sum of numbers = 80


⇒ x + y = 80


Also, Given that thrice of the difference of those two numbers is 20 more than y


⇒ 3(x - y) = 20 + y


⇒ 3x - 3y = 20 + y


⇒ 3x = 20 + 4y


⇒ 4y = 3x - 20


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