In a division problem, the dividend is 1261, the divisor is half the quotient and the remainder is 11. Find the divisor.
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Answer:
Let the quotient be x. Then divisor will be
2
x
.
Remainder =11.
Dividend =1261
Dividend = ( Divisor × Quotient ) + Remainder
⇒ 1261=(
2
x
×x)+11
⇒ 1261=
2
x
2
+11
⇒ 1261=
2
x
2
+22
⇒ 2522=x
2
+22
⇒ x
2
=2500
∴ x=50
⇒ Divisor =
2
x
=
2
50
=25
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