Three times the greater of two number is divided by the lesser we get the quotient 6 and remainder 6 If 5 times the lesser number is divided by greater we get quotient 2 and remainder 3find two number
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Answer:
Let the larger number be x and the smaller one be y. We know that
Dividend =(Divisor × Quotient) +Remainder. (i)
When 3x is divided by y, we get 4 as quotient and 3 as remainder. Therefore, by using (i), we get
3x=4y+3⇒3x−4y−3=0 (ii)
When 7y is divided by x, we get 5 as quotient and 1 as remainder. Therefore, by using (i), we get
7y=5x+1⇒5x−7y+1=0 .(iii)
Solving equations (ii) and (iii), by cross-multiplication, we get
−4−21
x
=
3+15
−y
=
−21+20
1
−25
x
=−1,
18
−y
=−1
⇒x=25 and y=18
Hence, the required numbers are 25 and 18.