Question

The sum of two numbers is 27 the difference two numbers is 5 find the smallest number

Answer 1

Answer:

The smaller number is 11.

Step-by-step explanation:

Let the smaller number be x. So, the bigger number would be 5+x.

it is given that                               x+(x+5)=27

                                                     2x+5=27

                                                     2x=27-5

                                                     2x=22

                                                       x=22/2

                                                       x=11

Therefor the smaller number is 11.

Answer 2

ANSWER :

The smallest number is 11.

EXPLANATION :

•Given :-

• The sum of two numbers is 27.
• The difference of two numbers is 5 .

•To find :-

• Smallest number.

• Solution :-

Let the biggest number be x and the smallest number be y .

ᴥThe sum of two numbers is 27 .

According to the question,

$\sf{x+y=27...........(eq.\:1)}$

ᴥ The difference of two numbers is 5.

According to the question,

$\sf{x-y=5..............(eq.\:2)}$

By elimination ,

x + y = 27

x - y = 5

____________

2x = 32

→x = 16

✞ Putting x = 16 in (eq. 1) ✞

x + y = 27

→ 16 + y = 27

→ y = 27 - 16

→ y = 11

ᴥ The smallest number is 11 and the biggest number is 16.

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VERIFICATION :

Smallest number = 11

Biggest number = 16

So,

Sum of two numbers= (16+11)

Sum of two numbers= 27

Difference of two numbers=(16-11)

Difference of two numbers= 5

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