Question

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

Answer 1

Answer:

33 and 10

Step-by-step explanation:

As per statement given :—

Let's consider two numbers as x and y

According to 1st condition :— x + y = 43

According to 2nd condition :— 2x — 3y = 36

Let's solve as per simultaneous equation

Multiplying 1st condition by 3 so we get ,

3x + 3y = 129 ——————->eq.no.3

Eq 3 — Eq 2

3x + 3y = 129

2x — 3y = 36

So we get

x =33 and y = 10

hope it helps you

Answer 2

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.