The ratio of the two numbers is 12:3.if the sum of them is 385,find the numbers

October 30, 2026Mathematics

ScanSolve AI Answer

Answer

308 \text{ and } 77

5 steps

Here's how to find the two numbers:

Simplify the ratio
The given ratio is $12:3$ . This can be simplified by dividing both parts by 3.
$12 \div 3 : 3 \div 3 = 4:1$
Represent the numbers using a common multiplier
Let the two numbers be $4x$ and $1x$ (or just $x$ ).
Set up an equation using the sum
The sum of the two numbers is 385.
$4x + x = 385$
Solve for the multiplier $x$
$5x = 385$ $x = \frac{385}{5}$ $x = 77$
Calculate the two numbers
The first number is $4x$ :
$4 \times 77 = 308$
The second number is $x$ :
$1 \times 77 = 77$
The two numbers are $308 \text{ and } 77$ .

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