One number is eight more than twice another. If their difference is 25, what is the larger number?

Solution:

Let x and y be the required numbers.

Given that, one number is eight more than twice another ⇒ x = 8 + 2y ….(1)

Their difference is 25 ⇒ x - y = 25 …. (2)

Solving the linear equations (1) and (2), using the elimination method

y = 17

Substituting the value of y in (2)

x - 17 = 25

x = 42

The larger number is 42.

One number is eight more than twice another. If their difference is 25, what is the larger number?

Summary:

Given one number is eight more than twice another and if their difference is 25, the larger number is 42.