Question

11. A natural number has been divided into two parts in the ratio 7:11. If the different
of two parts is 20, find the number and the two parts.

Answer 1

Answer:

Let the Common Multiple Be X

Therefore:-

11x-7x=20

4x=20

x=20/4

x=5

First No.=7x=7*5=35

Second No.=11x=11*5=55

Main Number=35+55=90

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Answer 2

Answer:

number= 90

the two parts= 35 and 55 respectively

Step-by-step explanation:

the parts can be taken as

$11x$ and $7x$

Thus; $11x-7x=20$

⇒$4x=20$

⇒$x=\frac{20}{4}$

⇒$x=5$

thus the no. is $11x+7x=18x$ and the parts are $11x$ and $7x$

by putting value of $x$ we get

$18x=18*5=90 (the no.)\\7x=7*5=35 and 11x=11*5=55(the parts)$