Question

sum of the 2 numbers is 8 and sum of three times first number and two times second is 19. find numbers

Answer 1

The number is 35

Step-by-step explanation:

Let,

The first number = x

Sum of the 2 numbers is 8

Therefore,

The second number = 8 - x

★ According to the question :

Sum of three times first number and two times second is 19

So,

⇒ 3x + 2 (8 - x) = 19

⇒ 3x + 16 - 2x = 19

⇒ 3x - 2x + 16 = 19

⇒ x = 19 - 16

⇒ x = 3

____________________________

The second number = 8 - x

⇒ 8 - x

⇒ 8 - 3

⇒ 5

Therefore,

The number is 35

★ Verification :

Sum of three times first number and two times second is 19

Three times first number :

⇒ 3 × 3

⇒ 9

Two times second number :

⇒ 5 × 2

⇒ 10

10 + 9 = 19

Answer 2

✍ Given :-

• Sum Of 2 Numbers = 8.

• Sum of three times first number and two times second is 19.

✍ To Find :-

• Numbers.

✍ Solution :-

✔ Let,

• First Number = x.
• Second Number = 8 - x.

Now, According To Question,

3x + 2(8 - x) = 19.

⇢ 3x + 16 - 2x = 19.

⇢ x + 16 = 19.

⇢ x = 19 - 16.

⇢ x = 3.

✔ Hence,

☆ First Number = 3 ☆

☆ Second Number = 5 ☆