Question

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The greater of two numbers is 12 more than the smaller and the sum of these two numbers is 48. Find the numbers.

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Answer 1

Answer:

The required numbers are 18 & 30.

Step-by-step-explanation:

Let the smaller number be x.

From the first condition,

Greater number = Smaller number + 12

∴ Greater number = x + 12

From the second condition,

Smaller number + Greater number = 48

x + ( x + 12 ) = 48

⇒ x + x + 12 = 48

⇒ 2x = 48 - 12

⇒ 2x = 36

⇒ x = 36 ÷ 2

⇒ x = 18

∴ Smaller number = 18

Now,

Greater number = x + 12

⇒ Greater number = 18 + 12

⇒ Greater number = 30

∴ The required numbers are 18 & 30.

Answer 2

The numbers are 18 and 30

Step-by-step explanation:

let y be the smaller number

then , according to question ,

Greater number = y + 12

and ,

Greater number + smaller number = 48

then ,

y + (y + 12) = 48

2y = 48-12 = 36

y = 18

then ,

Greater Number = 18 + 12 = 30

$\large \tt \red \ddag \: \: greater \: \: \: number \: \: = \: \: 30 \\ \\ \\ \large \tt \orange\ddag \: \: smaller \: \: \: number \: \: = \: \: 18$