Question

The difference between two numbers is three. The sum of twice the larger and one-half the smaller is 36. Find the numbers

Answer 1

Answer:-

The first number is 15

The second number is 12

Explanation:-

Let,

The first number be x

The second number be y

Difference between two number is 3

x - y = 3

x = 3 + y------------(1)

Sum of twice the larger and one-half the smaller is 36

Let x is greater than y

2x + 1/2 y = 36

4x + 1y = 72

Putting the value of x in this equation

4(3+y)+y=72

12+4y+y=72

5y=72-12

5y=60

y=12

Now put the value of y in equation (1)

x=3+y

x=3+12

x=15

The first number is 15

The second number is 12.

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