Question

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

Answer 1

-93.5

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

Answer 2

• 28

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