Question

If 45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is
subtracted from twice the smaller number, it results in the greater number. Find the numbers class 10 cbse chapter 3 ​

Answer 1

Answer:

29 and 37

Step-by-step explanation:

Let "g" be the greater number, and "s" - the smaller number, then

2g - 45 = s

2s - 21 = g

2g - s = 45 ...... (1)

- g + 2s = 21  ...... (2)

Multiply equation (2) by 2, we get

- 2g + 4s = 42 ...... (3)

2g - s = 45  ........ (4)

Adding up (3) and (4), we get

3s = 87 ===> s = 29

g = 2×29 - 21 ===> g = 37