Question

The sum of two numbers is 75. Thrice of smaller number equals twice of greater number. Find them.​

Answer 1

Answer:

The two numbers are 30 and 45.

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Answer 2

Answer :-

• x = 30
• y = 45

Step-by-step explanation :-

Let the smaller number be x and greater number be y.

★ According to the question

• x + y = 75 ----- [Equation 1]
• 3x = 2y ----- [Equation 2]

Equation 1 can be written as:

x = 75 - y ----- [Equation 3]

3x = 2y

⇒ 3 (75 - y) = 2y

⇒ 225 - 3y = 2y

⇒ 5y = 225

⇒ y = 225 ÷ 5

⇒ y = 45

Substitute the value of y in Equation 1 to find out the value of x.

x + y = 75

→ x + 45 = 75

→ x = 75 - 45

→ x = 30

∴ The value of x is 45 and y is 30

★ VERIFICATION:

Substitute these values of x and y in Equation 2.

3x = 2y

⇒ 3(30) = 2(45)

⇒ 90 = 90

LHS = RHS

Hence verified