Question

Q29. The sum of two numbers is 11 and their difference is 5. Find the numbers.​

Answer 1

Answer:

–6

Step-by-step explanation:

If this question means the 'sum' of 11 and their difference is 5, then the sum of the two numbers is not unique. Exp: 12 + 18 = 30, or 94 + 100 = 194. The difference in both cases is -6 and the sum of 11 and -6 is 5, thus any two numbers with a difference of -6.

Answer 2

Given:-

• The sum of two numbers is 11 and their difference is 5.

To Find:-

• The Number.

Solution:-

➟ Let one of the two numbers be X.

➟ Other number = (11 – x)

$\purple{⚘}\frak{ \underline{According \: to \: the \: Question}}$

$: \longrightarrow \: \: \sf{x – (11 – x) = 5}$

$\:$

$: \longrightarrow \: \: \sf{x – 11 + x = 5}$

$\:$

$: \longrightarrow \: \: \sf{2x – 11 = 5}$

$\:$

○Transposing 11 to RHS

$: \longrightarrow \: \: \sf{2x = 5 + 11 }$

$\:$

$: \longrightarrow \: \: \sf{2x = 16}$

$\:$

$: \longrightarrow \: \: \sf{ \boxed{ \bf{ \pink{x= 8}}}}$

$\:$

Hence , the required numbers are 8 and $\sf{11 – 8 = 3.}$