The classroom suddenly became quiet. The teacher said to us, "I'll give you a question first: two integers."
The quotient of division is
12
, the rest is
26
The sum of dividend, divisor and quotient remainder is equal to
454
What is the divisor?
I read it again, two ". When I got the question, I thought: What is the bonus of this question?
How to find the divisor? But recalling that teachers often say that drawing line segments is a magic weapon to solve application problems. Why don't I try?
What about trying? So I began to draw: first, take the divisor as a multiple, and the dividend is several times more than the divisor.
26
Draw quotient and remainder again. Oh, it turned out to be a matter of doubling. The formula is: (
454
—
12
—
26
—
26
)÷(
12+ 1
)
=390÷
13=30
I think: we have learned to use it.
x
The method of calculation. I'll write out the formula of the text first. Divider × quotient
+
remainder
+
divisor
+
business
+
remainder
=454
Then set the divisor to
X
The formula is: x×12+26+x+12+26 = 454.
I will put it first.
12
and
26
After subtraction, the dividend and divisor are left, and then because there is a remainder in the dividend.
I'll lose it again
26
So the dividend is equal to
12
. The divisor is
30
. Expressed by formula, it is:
X× 12+26+X+26+ 12 = 454