Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

WHICH IS THE SMALLEST NUMBER WHICH LEAVES REMAINDER 8 AND 12 WHEN DIVIDED BY 28 AND 32?
Asked by | 22 Apr, 2013, 07:07: AM
answered-by-expert Expert Answer

Let the required number be z.

?z = 28x + 8 and z = 32y+12 
? 7x+2=8y+3
? 7x = 8y+1 … (1)
Here, x =8n -1, y =7n -1 satisfies the equation (1).
Putting n =1, we get
x = 8-1 = 7 and y =7-1 =6
? z = 28 × 7 + 8 = 204

Thus, the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively is 204.

Answered by | 22 Apr, 2013, 10:21: AM
CBSE 10 - Maths
Asked by sagarmishra | 14 Mar, 2024, 12:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by apekshab05918 | 15 Feb, 2024, 11:29: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mahanandaparameswar2 | 31 Jan, 2024, 06:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sitalagrawal969 | 21 Jan, 2024, 11:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhaskrraobhaskrrao | 18 Jan, 2024, 08:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by randhirpandey196 | 16 Jan, 2024, 03:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by scs902692 | 11 Jan, 2024, 08:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by reddyjaswamth | 10 Jan, 2024, 01:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dc5756069 | 09 Jan, 2024, 07:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pv925403 | 07 Jan, 2024, 07:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×