Question

one number is 5 more than another number also 6 times the smaller number is equal to 5 times the larger number find the two number. please write steps and check l have to submit please help me​

Answer 1

Answer

25 , 30

Given

One number is 5 more than another number

and 6 times the smaller number is equal to 5 times the larger number

To Find

Two numbers

Solution

Let one and small number be , " x "

A/c , " one number is 5 more than another number "

So , bigger number be , " x + 5 "

A/c , " 6 times the smaller number is equal to 5 times the larger number "

⇒ 6x = 5 ( x + 5)

⇒ 6x = 5x + 25

⇒ 6x - 5x = 25

⇒ x = 25

So , smaller number = x = 25

Bigger number = x + 5 = 30

Answer 2

The smaller number = 25

The larger number = 30

Step-by-step explanation:

Let,

The smaller number = x

One number is 5 more than another number

So,

The larger number = x + 5

Also,

6 times the smaller number is equal to 5 times the larger number

⇒ 6x = 5 (x + 5)

⇒ 6x = 5x + 25

⇒ 6x - 5x = 25

⇒ 1x = 25

⇒ x = 25

The smaller number = 25

__________________________

★ The larger number = x + 5

⇒ x + 5

⇒ 25 + 5

⇒ 30

The larger number = 30