Question

One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?

The numbers are?

Answer 1

`\bold{\huge{\pink{\underline{ Solution}}}}`

`\bold{\underline{ Given :- }}`

• The sum of two numbers is 25
• One number exceeds another by 5

`\bold{\underline{ To \: Find :- }}`

• We have to find the two numbers.

`\bold{\underline{ Let's \: Begin:- }}`

Let the number be x

Therefore,

Another number be x + 5

According to the question,

`\sf{ x + ( x + 5 ) = 25}`

`\sf{ x + x + 5 = 25}`

`\sf{ 2x + 5 = 25}`

`\sf{ 2x = 25 - 5}`

`\sf{ 2x = 20 }`

`\sf{ x = 20/2}`

`\sf{ x = 10 }`

Thus, The first number is 10

Therefore,

Another number will be

`\sf{ = x + 5 }`

`\sf{ = 10 + 5 }`

`\sf{ = 15 }`

`\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}`