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maksim [4K]
3 years ago
14

The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

The smaller number is 7 and the greater number is 11.

Step-by-step explanation:

Let,

x be the smaller number

y be the greater number

According to given statement;

x+y=18     Eqn 1

y+2x=25    Eqn 2

Subtracting Eqn 1 from Eqn 2

(y+2x)-(x+y)=25-18\\y+2x-x-y=7\\x=7

Putting x=7 in Eqn 1

7+y=18\\y=18-7\\y=11

The smaller number is 7 and the greater number is 11.

Keywords: numbers, linear equation

Learn more about linear equations at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

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There's multiple ways to express this problem, but I like to do ratios, so we'll go with that. If you prefer fractions, the first number of a ratio is the same as the numerator of a fraction and the second number is the same as the denominator. 

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\huge\text{Hey there!}

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