Question

the ratio of two mumber is 2:3 their product is 726. smallest between the two mumbers is
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Answer 1

Answer:

ans.

Step-by-step explanation:

The ratio of two numbers is 2 : 3 and their product is 726. The smallest number between the two numbers is: 800. 1800

Answer 2

Step-by-step explanation:

Let n = the higher or greater number.

Since the ratio between the higher and the smaller number is 2:3, then the smaller number = (2/3)n since {(2/3)n]/n = 2/3.

Since the sum of these two numbers is 225, then we can write the following equation:

n + (2/3)n = 225

Now, clear the equation of fractions by multiplying both sides of the equation by the only denominator, 3, as follows:

3[n + (2/3)n] = 225(3)

3n + (3)(2/3)n = 225(3)

3n + (3/1)(2/3)n = 675

3n + (6/3)n = 675

3n + 2n = 675

Now, collecting like-terms on the left side, we get:

(3 + 2)n = 675

5n = 675

Now, divide both sides of the equation by 5 in order to isolate n on the left side, thus solving for n:

(5n)/5 = 675/5

(5/5)n = 135

(1)n = 135

n = 135

CHECK:

n + (2/3)n = 225

135 + (2/3)(135) = 225

135 + (270/3) = 225

135 + 90 = 225

225 = 225

Therefore, n = 135 is indeed the higher or greater number.

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