A number when divided successively by …
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Yogita Ingle 4 years, 10 months ago
Let p be the number.
Suppose,
p÷4=q, remainder=2
q÷5=r, remainder=3
r÷6=s, remainder=4
Then,
r=6s+4
q=5r+3=5(6s+4)+3=30s+23
p=4q+2=4(30s+23)+2=120s+94
Let us now assume that the remainder s=1. Then we have:
p=(120×1)+94=214
Hence, the number is 214.
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