Question

The sum of two numbers is 105. If one exceeds the other by 17, find the numbers.

Answer 1

${\huge {\underline {\sf {Answer}}}}$

${\underline {\rm {Given:}}}$

• The sum of two numbers is 105
• One number exceeds the other by 17

${\underline {\rm {Find:}}}$

• The numbers

${\underline {\rm {Solution:}}}$

• Let the number 1st be x
• And the 2nd number be x + 17

Substituting the values in the expression,

= x + (x + 17) = 105

= 2x + 17 = 105

= 2x =$\dfrac {105}{7}$

= 2x = 15

= x = $\dfrac {15}{2}$

= x = 7.5

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The numbers are :

• 1st number

= x = 7.5

• 2nd number

= x + 17

= 7.5 + 17

= 24.5

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