Question

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

Answer 1

Answer:

The required positive integers are 20 and 50.

Step-by-step explanation:

Let the Integers be 2x and 5x.

According to the question,

5x-2x=30

3x=30

x=30/3

x=10

So,

2×10=20

5×10=50.

Answer 2

♧QUESTION♧

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

♧SOLUTION♧

GIVEN

DIFFERENCE = 30.

LET, THE RATIOS BE THE MULTIPLE OF 'x'.

Then,

The integers will be 5x and 2x.

ACCORDING TO QUESTION

$=> 5x - 2x = 30$

$=> 3x = 30$

$=> x=\frac{30}{3}$

$=> x = 10$

THEREFORE

VALUE OF 'x' is 10

REQUIRED INTEGERS:

☆ 5x = 5×10 = 50

☆ 2x = 2×10 = 20

HOPE THIS ANSWER WILL HELP YOU!!