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Stels [109]
1 year ago
11

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

Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
4 0

Answer:

<h2><em>Smaller Integer = 30</em></h2><h2><em>Larger integer = 37</em></h2>

Step-by-step explanation:

<h2><u>Conditions:</u></h2>
  • <em>There are </em><em>two integers</em><em> whose value are to bee found out.</em>
  • <em>Sum</em><em> of those two integers</em><em> is 63.</em>
  • <em>The </em><em>larger integer</em><em> is 23 </em><em>less</em><em> than</em><em> twice the smaller</em><em> one.</em>
<h2><u>To Find:</u></h2>
  • <em>The </em><em>two integers</em><em> in the given condition.</em>
<h2><u>Solution:</u></h2>

Let,

The smaller integer be <em>x</em>

<em>So,</em> larger integer will be = <em>2x - 23</em>

Given,

The sum of<em> </em>these two integers is = <em>67</em>

∴ According to the condition,

=> x + 2x - 23 = 67

  • <em>(Taking the like terms on each sides)</em>

=> x + 2x = 23 + 67

  • <em>(Adding the like terms)</em>

=> 3x = 90

  • <em>(Dividing each side with 3)</em>

=> x = 30

Then,

The smaller integer is = x = <em>30</em>

and, Larger integer is = 2x - 23 = <em>37</em>

<u>Hence,</u>

<u>The required smaller and larger integers are 30 and 37 respectively (Ans)</u>

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