When x is added each of 10, 23, 15 and 33, the sums obtained in this o

1.	When x is added each of 10, 23, 15 and 33, the sums obtained in this order are in proportion. The value of (x + 5) is:1. 12. 83. 34. 5
Answer» Correct Answer - Option 2 : 8 Given: The numbers are 10, 23, 15, and 33 x is added to each number and the sum is in proportion. Concept Used: If a, b, c, and d are in proportion, then, a/b = c/d Calculation: When x is added to each number the numbers will be, (10 + x), (23 + x), (15 + x), and (33 + x) ⇒ (10 + x)/(23 + x) = (15 + x)/(33 + x) ⇒ (10 + x)(33 + x) = (15 + x)(23 + x) ⇒ 330 + 10x + 33x + x² = 345 + 15x + 23x + x² ⇒ 48x – 43x = 345 – 330 ⇒ 5x = 15 ⇒ x = 15/5 ⇒ x = 3 The value of (x + 5) ⇒ 3 + 5 ⇒ 8 ∴ The value of (x + 5) is 8.

When x is added each of 10, 23, 15 and 33, the sums obtained in this order are in proportion. The value of (x + 5) is:1. 12. 83. 34. 5

Answer» Correct Answer - Option 2 : 8

Given:

The numbers are 10, 23, 15, and 33

x is added to each number and the sum is in proportion.

Concept Used:

If a, b, c, and d are in proportion,

then, a/b = c/d

Calculation:

When x is added to each number the numbers will be,

(10 + x), (23 + x), (15 + x), and (33 + x)

⇒ (10 + x)/(23 + x) = (15 + x)/(33 + x)

⇒ (10 + x)(33 + x) = (15 + x)(23 + x)

⇒ 330 + 10x + 33x + x² = 345 + 15x + 23x + x²

⇒ 48x – 43x = 345 – 330

⇒ 5x = 15

⇒ x = 15/5

⇒ x = 3

The value of (x + 5)

⇒ 3 + 5

⇒ 8

∴ The value of (x + 5) is 8.

Discussion

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