Question

The sum of two integers is 67 the larger is 23 less than twice the smaller find the two integers

Answer 1

Smaller Integer = 30

Larger integer = 37

Explanation:

Conditions:

• There are two integers whose value are to bee found out.
• Sum of those two integers is 63.
• The larger integer is 23 less than twice the smaller one.

To Find:

• The two integers in the given condition.

Solution:

Let,

The smaller integer be x

So, larger integer will be = 2x - 23

Given,

The sum of these two integers is = 67

∴ According to the condition,

=> x + 2x - 23 = 67

• (Taking the like terms on each sides)

=> x + 2x = 23 + 67

• (Adding the like terms)

=> 3x = 90

• (Dividing each side with 3)

=> x = 30

Then,

The smaller integer is = x = 30

and, Larger integer is = 2x - 23 = 37

Hence,

The required smaller and larger integers are 30 and 37 respectively (Ans)