Question

the sum of two positive integers is 105 the integers are in the ratio 2:3 find the integer

Answer 1

Let the two positive integers be 2a and 3a respectively.
According to the question,
2a+3a=105
5a=105
a=21
Thus, the two numbers are 42 and 63.
Hope it helps.......
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Answer 2

Given:

• The sum of two positive integers = 105
• The ratio of the integers = 2:3

To Find:

• The value of the two positive integers.

Solution:

Since the two positive integers are in a ratio of 2:3, we can denote them as 2a and 3a.

From the given data we can write,

2a + 3a = 105

5a = 105

a = 105/5

a = 21

On substituting the value of "a" in 2a and 3a we will get the two positive integers.

The first integer = 2a = 2(21) = 42  {multiplying the terms}

The second integer = 3(21) = 63 {multiplying the terms}

∴ The two positive integers are 42 and 63.