Question

1. The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10. Find
the numbers.
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Answer 1

$\underline{\textsf{\textbf{\purple{ \mapsto Given:}}}}$

• Greater of two numbers is 12 more than smaller .
• The sum of two number is 10.

$\underline{\textsf{\textbf{\purple{ \mapsto To\:Find:}}}}$

• The two numbers.

$\underline{\textsf{\textbf{\purple{ \mapsto Concept\:Used:}}}}$

• We will make use of linear equations in one variable and will put the variables according to the given conditions and solve the equation to get the required answer.

$\underline{\textsf{\textbf{\purple{ \mapsto Answer:}}}}$

Let us take ,

• Smaller number be x .
• Greater number be x + 12 .

Now by the given condition , sum of two numbers is 10 . Hence ,

⇒ x + ( x + 12 ) = 10.

⇒ x + x + 12 = 10.

⇒ 2x + 12 = 10.

⇒2 ( x + 6 ) = 10.

⇒ x + 6 = 10/2 .

⇒ x + 6 = 5.

⇒x = ( 5 - 6 ).

⇒ x = -1

Hence ,

• The smaller number = x = (-1)
• The greater number = x+12= 11.