The sum of the two numbers is 70. One number is 4 times as large as the other. What are the numbers?

Solution:

Given sum of two numbers is 70

One number is 4 times the other

Let us write them as linear equations.

Let us assume the two numbers as x, y

By the condition, x = 4y-----> (1)

x + y = 70------>(2)

Solving the linear equations, we get

⇒ 4y + y = 70

⇒ 5y = 70

⇒ y = 14

x + y = 70 ⇒ x + 14 = 70

⇒ x= 70 - 14

⇒ x = 56

Thus, the two numbers are 14, 56.

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The sum of the two numbers is 70. One number is 4 times as large as the other. What are the numbers?

Summary:

The sum of two numbers is 70. one number is 4 times as large as the other, then the numbers are 14, 56.