CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Twenty-four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

Open in App
Solution

Le the 2 parts be x and y
According to question,

x+y=24(i)
and 7x+5y=146(ii)

Multiplying eq (i) by 7, we get
7x+7y=168(iii)
Subtracting eq. (ii) by (iii). we get

7x+7y=1687x+5y=1462y=22y=11
But, x+y=24 (from eq. (i))

x+11=24 (subtracting value of y )

x=2411

x=13

So, the 2 parts are 11 and 13

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon