Question

6. The sum of the two positive integers is 18. If the ratio of the integers is 5:4, then find the integers.​

Answer 1

Answer :-

• The two integers are 10 and 18.

To find :-

• The two integers.

Solution :-

• Let the integers be 5x and 4x since they are in the ratio 5 : 4.

It is given that :-

• Their sum is 18.

Which means that :-

• The sum of 4x and 5x is 18.

Therefore,

$\longmapsto\bf5x + 4x = 18$

$\bf\longmapsto 9x = 18$

$\bf \longmapsto x = \dfrac{18}{9}$

$\longmapsto \underline{\boxed{ \bf x = 2}}$

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• The value of x is 2.

Hence, the two integers are :-

$\rm5x = 5 \times 2 = 10.$

$\rm4x = 4 \times 2 = 8.$

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Know more :-

What is a ratio?

• A ratio is a comparison of measures of two or more quantities of the same kind by division.

Answer 2

Answer:

10 & 8

Step-by-step explanation:

5x + 4x = 18

9x= 18

x= 18/2

x=2

5x= 5 x 2= 10

4x= 4x2= 8

The two integers are 10 and 8