Question

The sum of two number is 43. If larger is doubled and smaller is ,the difference is 36. Find the two numbers.

Answer 1

Answer:

33 and 10

Step-by-step explanation:

Let’s assume the two numbers to be x and y such that x > y

Then according to the given conditions, we have

x + y = 43 … (i) and

2x – 3y = 36 … (ii)

Now, multiplying (i) by 3 and adding with (ii) we get

3x + 3y = 129

2x – 3y = 36

—————–

5x = 165

x = 165/5 = 33

On substituting the value of x in (i), we get

33 + y = 43

y = 43 – 33

y = 10

Therefore, the two numbers are 33 and 10.

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