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den301095 [7]
3 years ago
13

The difference between two numbers is 15. Four times the larger number is nine times the smaller. Find the two numbers.

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

The numbers are 27 and 12

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

If the difference between them is 15, then

y - x = 15....(1)

Also , four times the larger number is nine times the smaller.

4y = 9x.....(2)

From equation (1),

y = x + 15....(3)

We put the 3rd equation into the 2nd to get:

4(x + 15) = 9x

Expand to get:

4x + 60 = 9x

Group similar terms

9x - 4x = 60

5x = 60

x = 12

Therefore the larger number is

y = 12 + 15 = 27

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