Question

the product of two positive integers is 936. find the greater number, if the integers are in the ratio of 13:18​

Answer 1

Answer:

Let the two positive integers be 13x and 18x.

Their product is 936.

∴13x×18x=936

⇒x2=13×18936=4

⇒x=2

Then two positive integers are 26 and 36.

∴ The greater number is 36.

Answer 2

Concept

A ratio is defined as a comparison of two sets of equal units and indicates how much of one set is  in the other. Equivalent ratios are similar to equivalent fractions. Equivalent ratios can be obtained by multiplying or dividing the antecedent and consequent of a particular ratio  by the same non-zero number.

Given

We have given product of two positive integers which is 936 and the ratio of the integers $13:18$

Find

We are asked to determine the greatest number .

Solution

Let the two positive integers be $13x$ and $18x$.

It is given that their product is 936.

$13x\times18x = 936\\\\\ x^2=\frac{936}{13\times18} \\\\x^2=\frac{936}{234} \\\\x^2=4$

x will get two values +2 and -2 but it is given that only positive numbers are taken so x will be 2 .

Then the number be $13\times 2=26$ and $18\times2=36$ .

Hence, 36 is the greater number

Therefore , the greater number is 36 .

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