Question

two numbers are in the ratio 2:5. If 20 is added to each of these, their sum becomes 110. find the numbers.​

Answer 1

Answer:

The numbers are 20 and 50.

Step-by-step explanation:

Given that two numbers are in the ratio of 2:5. Then we can write the numbers as, $2k \ \text{and} \ 5k$ , where $k$ is an integer.

If 20 is added to both numbers, their sum becomes 110.

Thus we get the equation,

$\implies 2k+20+5k+20=110\\\\\implies 7k+40=110\\\\\implies 7k= 110-40=70\\\\\implies k=\dfrac{70}{7} =10$

Thus the numbers are,

$2k=2\times 10=20\\\\5k=5\times 10=50$

The given numbers are 20 and 50.