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Mhaeestradago
Answered

Two numbers are in the ratio of 4:5. if the sum of two numbers is 90, what is the smaller number?

Sagot :

Answer:

Let the numbers be 4x and 5x

4x + 5x = 90

9x = 90

x = 9

4x = 40

5x = 50

Therefore, the numbers are 40 and 50

Step-by-step explanation:

ssorry Po if mali

EioulJingo

Answer:

40

Step-by-step explanation:

So this is the problem in mathematical form.

  • 90= 4:5

Follow the instructions.

  1. Convert the ratio into terms like this by adding n to the numbers and removing the colon. Take note that 90 is a sum.
  2. [tex]90 = 4n + 5n[/tex]
  3. Add.
  4. [tex]90 = 9n[/tex]
  5. Divide each side by 9 to let n alone.
  6. [tex] \frac{90}{9} = \frac{9n}{9} [/tex]
  7. So
  8. [tex]10 = n[/tex]
  9. To get the exact terms for the ratio,we will multiply them by 10 so 4 × 10 and 5 × 10

[tex]4 \times 10 = 40[/tex]

[tex]5 \times 10 = 50[/tex]

So the ratio 4:5 is equivalent to 40:50 which gives a sum of 90

[tex]40 + 50 = 90[/tex]

The smaller number was 40 so that's the answer. Hope this helps you! Thanks! Have a nice day!

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