The sum of half of a number and 49is 2 whole 1/4 of the number. find the number

Mathematics

2 answers:

Mrac [35]2 years ago

6 0

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

GaryK [48]2 years ago

3 0

Answer:

Step-by-step explanation:

Let the number is x

Half of a number = (1/2) x
2 whole 1/4 of the number = (2 1/4) x = (9/4) x

The sum:

(1/2) x + 49 = (9/4) x
(9/4)x - (1/2)x = 49
(9/4 - 1/2)x = 49
(7/4)x = 49
x = 49 : 7/4
x = 49 * 4/7
x = 7 * 4
x = 28

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