Question

The sum of two positive integers is 115. The integers are in the ratio 2:3. Find the integers​

Answer 1

Answer:

46 and 69

Step-by-step explanation:

let the two positive integers are a and b

a+b =115

and a:b= 2:3

then let a = 2x and b=3x

now putting them in the given equation

2x+3x=115

so x= 23 then a=2(23) =46

and b =3(23)=69

Answer 2

Answer :-

46 and 69.

Explanation :-

Given :

• Ratio of two numbers = 2 : 3.

• Sum of the integers = 115.

To Find :

• Both the Integers.

Solution :

Let the two numbers be 2x and 3x.

☆ According to the Question,

➞ 2x + 3x = 115.

➞ 5x = 115.

➞ x = 115 ÷ 5.

➞ x = 23.

Therefore,

• 1st Number = 2x = 46.
• 2nd Number = 3x = 69.

Verification :

➞ 2x + 3x = 115.

➞ 2(23) + 3(23) = 115.

➞ 46 + 69 = 115.

➞ 115 = 115.

LHS = RHS.

Hence, Verified.