the sum of two numbers, one of which is three-quarters of the other, is 49. find the product of the numbers.

588

Step-by-step explanation:

One number is x.

The other number is 3x/4.

Their sum is 49.

x + 3/4x = 49

4x/4 + 3x/4 = 49

7x/4 = 49

x/4 = 7

x = 28

One number, x. is 28.

The other number, 3x/4, is 3/4 × 28 = 21

The product of the number is 28 × 21 = 588

Step-by-step explanation:

the sum of both numbers is 49

one of the numbers is 3/4 of the other

trial and improvement

3*6=18

4*6=24

24+18=40    too small

3*7=21

4*7=28

28+21=49

21*28=588

answer: 38.47 is your answer

step-by-step explanation: hope i you and who ever sees this answer have a great rest of your day : )