Answer:

Total number of patients are:

X + Y = 400. ____(2)

Patients admitted in Hospital X were forty more than twice as many patients admitted in Hospital Y.

X = 40 + 2Y. ____(1)

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Now again you can use any method to solve it.

Substitution method:

X + Y = 400

X = 400 - Y_____(3)

Substitute (3) in (1)

400 - Y = 40 + 2Y

Y = 120.

Substitute the value of Y in any equation.

X + Y = 400

X + 120 = 400

X = 280.

So, in Hospital X there are 280 patients and in Hospital Y there are 120 patients. This is the answer.

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