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Answer»

Step-by-step explanation:

Given:

  • Sum of two numbers = 105
  • One number EXCEEDS other by 25

Find:

  • Numbers?

Solution:

  • Let us take one number as x
  • From question, The other number will be x + 25

  • According to question, Their sum = 105

Let's find the numbers:

: { \implies{ \sf{x + x + 25 = 105}}} \\ \\ : { \implies{ \sf{2x + 25 = 105}}} \\ \\ : { \implies{ \sf{2x = 105 - 25}}} \\ \\ : { \implies{ \sf{2x = 80}}} \\ \\ : { \implies{ \sf{x = \frac{80}{2} }}} \\ \\ : { \implies{ \sf{x = 40}}}

Therefore,

  • One number = x = 40
  • Other number = x + 25 = 40 + 25 = 65

Verification:-

\to{ \sf{Sum \: of \: t wo \: numbers = 105}} \\ \\ \to{ \sf{65 + 40 = 105}} \\ \\ \to{ \sf{105 = 105}} \\ \\ { \sf{hence \: proved}}


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