Question

The sum of two numbers is 48 and five times the smaller number is equal to three times the greater number. find the number.​

Answer 1

72 and -24

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Let's assume the smaller number is x and the greater number is y.

According to the problem statement, the sum of the two numbers is 48, so we have the equation:

• x + y = 48

The problem also states that five times the smaller number is equal to three times the greater number:

• 5x = 3y

Now we can use these two equations to solve for x and y. Multiply the first equation by 3 to eliminate y:

• 3x + 3y = 144

Subtract the second equation from the first equation to eliminate y.

• 5x - 3x = 144
• 2x = 144
• x = 72

Substitute the value of x back into the first equation to solve for y:

• 72 + y = 48
• y = -24

So the two numbers are 72 and -24.