Question

The difference between two positive integer is 30.The ratio of these integer is 2:5 .Find the integer​

Answer 1

Answer:

let one integer be x and other be x+30

Step-by-step explanation:

let one integer be x and other be x+30

x/x+30=2/5

5x=2x+60

5x-2x=60

3x=60

x=60/3

x=20

other number =x+30

20+30

=50

therefore two integers are 20 and 50

Answer 2

$\sf\huge\underline{Explanation :-}$

Given :

• Ratio of two positive integers = 2 : 5
• Difference between the two positive integers = 30

To find :

• The value of integers.

Solution :

Ratio of the two integers & the difference between the integers are given and from that we'll find the two integers.

Let the first integer be '2x'

and the second integer be '5x'

According to question,

$\sf\longrightarrow 5x - 2x = 30$

$\sf\longrightarrow 3x = 30$

$\sf\longrightarrow x = \dfrac{30}{3}$

$\sf\therefore x = 10$

Hence, the value of x is 10.

Now,

The first integer => 2 × 10 = 20

The second integer => 5 × 10 = 50

Hence, the two integers are 20 and 50 respectively.

$\bf\huge\underline{Verification :-}$

• The equation : 5x - 2x = 30

Putting the value of x, we get -

$\sf\longrightarrow 5 \times 10 - 2 \times 10 = 30$

$\sf\longrightarrow 50 - 20 = 30$

$\sf\longrightarrow 30 = 30$

$\sf\therefore L.H.S = R.H.S$

Hence, Proved.