Question

The sum of two numbers is 15 and their difference is 7
what are the two numbers?

Answer 1

✬ First Number = 11 ✬

✬ Second Number = 4 ✬

Step-by-step explanation:

Given:

• Sum of two numbers is 15.
• Difference of two numbers is 7.

To Find:

• What are the two numbers ?

Solution: Let one number be x and another number be y . Then ,

➟ x + y = 15

➟ x = 15 – y eqⁿ i

Again, a/q

$\implies{\rm }$ x – y = 7

$\implies{\rm }$ x = 7 + y

• Now putting the value of x from eqⁿ { i }

$\implies{\rm }$ 15 – y = 7 + y

$\implies{\rm }$ 15 – 7 = y + y

$\implies{\rm }$ 8 = 2y

$\implies{\rm }$ 8/2 = y

$\implies{\rm }$ 4 = y

• Now put the value of y in eqⁿ { i }

➼ x = 7 + y

➼ x = 7 + 4

➼ x = 11

Hence, the two numbers are x & y = 11 and 4 respectively.

_________________

★ Let's check ★

• Sum = 15 & Difference = 7

• 11 + 4 = 15
• 11 – 4 = 7

$\large\bold{\texttt {Verified }}$

Answer 2

Answer:

Given :-

• The sum of two numbers is 15 and their differences is 7.

To Find :-

• What is the two numbers.

Solution :-

Let, the two numbers are x and y.

The sum of two numbers,

➠ x + y = 15 --------- (1)

And, the difference of two numbers,

➠ x - y = 7 ----------- (2)

By, adding equation no (1) and (2) we get,

⇒ x + y + x - y = 15 + 7

⇒ 2x = 22

⇒ x = 22/2

➦ x = 11

Again, by putting x = 11, in the equation no (1) we get,

↦ x + y = 15

↦ 11 + y = 15

↦ y = 15 - 11

➤ y = 4

Hence, the value of x = 11 and the value of y = 4

∴ The two numbers are 11 and 4.