Question

The sum of 2 numbers is 70.4. One number is 19 times the other and the smaller number is less than 5. What are the two numbers? ​

Answer 1

Answer:
`\Large\boxed{3.52~;~66.88}`

Explanation:

Given information

One number is 19 times the other

The smaller number is less than 5

Sum = 70.4

Set variables

Let x be the smaller number

Let 19x be the larger number

Set equation according to the given information

Smaller number + Larger number = Sum

x + 19x = 70.4

Simplify by addition

20x = 70.4

Divide 20 on both sides

20x / 20 = 70.4 / 20

`\Large\boxed{x=3.52}`

Substitute values into the variables to find the larger number

Larger number = 19x

= 19 (3.52)

`\Large\boxed{=66.88}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

smaller number 3.52

greater number 66.88

Explanation:

Let x and y be two numbers ,where x < 5 and x ≤ y.

x + y = 70.4

y = 19x

By replacing y by 19x in the first equation we get :

x + 19x = 70.4

Then

20x = 70.4

Then

x = 70.4÷20

= 3.52

y = 19x

Then

y = 19 × 3.52 (just replace x by 3.52)

= 66.88