Question

The Sum of the two number's are 45. If larger number is three times. more than 5 of smaller number then Find the numbers.​

Answer 1

95 and 40

• Let the large number be x and the small number be y

• Then difference of two numbers =x−y=45 ----- (1)

• The larger number is 5 more than 2 times the smaller number: x=5+2y ------ (2)

• Put the value of x in equation (1) Then,
• Put the value of x in equation (1) Then, 5+2y−y=45
• Put the value of x in equation (1) Then, 5+2y−y=45y=45−5
• Put the value of x in equation (1) Then, 5+2y−y=45y=45−5y=40

• Now substitute the value of y in equation (1)
• Now substitute the value of y in equation (1)x−40=45
• Now substitute the value of y in equation (1)x−40=45x=45+40
• Now substitute the value of y in equation (1)x−40=45x=45+40x=95

• Therefore the numbers are 95 and 40.

Answer 2

Answer:

The numbers are 10 and 35.

Step-by-step explanation:

• The Sum of the two number's = 45
• Larger number = Three times more than 5 of smaller number
• The numbers are = ??

Solution :

Let,

• The smaller number = x
• The larger number = 3x + 5

The Sum of the two number's are 45.

★ According to the Question :

Sum of 2 numbers = 45

⇒ x + (3x + 5) = 45

⇒ 4x + 5 = 45

⇒ 4x = 45 - 5

⇒ 4x = 40

⇒ x = 40/4

⇒ x = 10

The smaller number = 10

• The larger number = 3x + 5

⇒ 3x + 5

⇒ 3 (10) + 5

⇒ 30 + 5

⇒ 35

The larger number = 35

Therefore, the numbers are 10 and 35.