Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

# What Number Must Be Added to Each of the Number 16, 26 and 40 So that the Resulting Numbers May Be in Continued Proportion? - ICSE Class 10 - Mathematics

Login
Create free account

Forgot password?

#### Question

What number must be added to each of the number 16, 26 and 40 so that the resulting numbers may be in continued proportion?

#### Solution

Let the number added be x.
∴ (16 + x) : (26 + x) :: (26 + x) (40 + x)
16 +x = 26 +x
26 + x 40 + x
(162 + x)(40 + x) = (26 + x2 )
640 + 16x + 40x + x2 = 676 + 52x + x2
56x - 52x = 676 - 640
4x = 36

x = 9
Thus, the required number which should be added is 9.

Is there an error in this question or solution?

#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 7

#### Video TutorialsVIEW ALL [1]

Solution What Number Must Be Added to Each of the Number 16, 26 and 40 So that the Resulting Numbers May Be in Continued Proportion? Concept: Proportions.
S