Question

sum of two numbers is 27 their differences is 3. find their product numbers​

Answer 1

Information provided with us:

➪ The sum of two numbers is 27

➪ Their differences is 3.

✰What we have to calculate༄

➪ The required product numbers

✰Assumption :

➪ Consider x and y represent the two numbers

✰ According to the 1 st condition ༄

• ➪ The sum of two numbers is 27

✰ So ༄

$\longrightarrow\bigstar \: \: \rm\boxed{{{x + y = 27}}}\: \: \: \bigstar$

✰ According to the 2 nd condition ༄

• ➪Their differences is 3.

✰ So ༄

$\longrightarrow\bigstar \: \: \rm\boxed{{{x - y = 3}}}\: \: \: \bigstar$

✰ Now add them ༄

$\longrightarrow\bigstar \: \: \sf \boxed{\bold{\green{x + y = 27 }}}\: \: \: \bigstar$

$\longrightarrow\bigstar \: \: \sf \boxed{\bold{\purple{x - y = 3 }}}\: \: \: \bigstar$

+

______________________________________

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\red{2 \: x = 30}}}\: \: \: \bigstar$

$\rm \implies \: x = \dfrac{30}{2}$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\blue{ x = 15 }}}\: \: \: \bigstar$

✰ Now ༄

• ➡ By Substituting x = 15 in x + y = 27 we get ,

$\rm \implies \: (15) + y = 27$

$\rm \implies \: y = 27 - 15$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\blue{ y = 12 }}}\: \: \: \bigstar$

✰ Therefore ༄

➡ Their products (x)(y) is

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\pink{(15) \times (12)}}}\: \: \: \bigstar$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\gray{180}}}\: \: \: \bigstar$

Answer 2

Answer:

The product of both the numbers is 180.

Step-by-step explanation:

Here we have been given that the sum of two numbers is 27 and the difference between them is 3.

It has been asked to find the product of the numbers. In order to find the products of the numbers we first need to find the actual numbers.

Suppose the two numbers be m and n respectively.

So, according to the question

m - n = 3

⇒ m= 3+n

Also,

m+n = 27

substituting value of m= 3+n  

⇒ 3+n+n = 27

⇒ 3+2n = 27

⇒ 2n = 24

⇒n = 12

∴  m= 3+n= 3+12 = 15

The product of the two given rational numbers is  

m×n = 12×15

= 180

Hence the product of both the numbers is 180.