Question

The ratio of two numbers is 5:8 . If the difference of the numbers is 69 then find the numbers .​

Answer 1

Answer:

Step-by-step explanation:

The ratio given is 5:8.

∴ The total number of parts = 5+8 = 13

Let the common number to be multiplied be 'x'

Now as 8x>5x

8x - 5x = 69

3x = 69

∴ x = 23

∴5x = 115

∴8x = 184

Answer 2

1st number - 184

2nd number- 115

GIVEN:

Ratio of two numbers; 5:8

difference of numbers; 69

TO FIND:

Value of The numbers.

SOLUTION:

We can simply solve the above problem as under-

we know that, Ratio is the relative value of two quantities.

let,

the first number be x

the second number be y

Ratio of numbers = 5x : 8y

we can also express it as ;

$\frac{5x}{8y} = 1$

or,

x = 8y/5.............. (I)

The difference of the number is given as

y-x = 69..............(II)

x = y-69............(iii)

Comparing equation (I) and (iii)

$\frac{8y}{5} = y - 69$

$8y = 5y - 345$

$8y - 5y = - 345$

$- 3y = - 345$

$y = 115$

putting the value of y in equation equation (I) we get,

$x = \frac{8 \times 115}{5}$

$x = 184$

Hence,

value of first number is 184

value of first number is 184 Value of second number is 115.

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