Question

Ratio of two number is 3:5 and their sum is 64. Find the smallest number
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Answer 1

Answer:

Let the rational digit between two number be x

As per statement the ratio between two numbers is 3 : 5, therefore two numbers will be 3x and 5x.

Now the sum of these two numbers is 40, As such

3x + 5x = 40

8x = 40

x =40/8= 5

Thus 3x = 3 × 5 = 15 and 5x = 5 × 5 = 25.

Therefore, the numbers are 15 and 25, and the larger of the two numbers is 25.

Answer: the larger of two number is 25

Let us check for correctness

The sum of two numbers is 40 . Two numbers have been calculated as 15 and 25. Let us take sum of these

15 + 25=40

Answer is correct

Answer 2

$3 : 5$

$3x : 5x$

$3x + 5x = 8x$

$8x = 64$

$x = \frac{64}{8}$

$x = 8$

$3x : 5x \: :: \: (3 \times 8):(5 \times 8)$

$24:40$

Hence, the smallest number is: 24