A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?
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Answered by
3
Let the number be x, now 1/7th of x = x/7. Sum of all angles of a triangle? 360.
Now x - x/7 = 360. Taking lcm (7x - x )7= 360 => 6x/7=360 taking 7 on the other side,
6x = 360*7 => 6x= 2520 x=2520/6 => 420. Verify this by putting value of x as 420 in x-x/7= 360 . 420-420/7=360 .. 420-60=360 so 360= 360. So the value of x = 420. Let me know if u need a solution on paper
Now x - x/7 = 360. Taking lcm (7x - x )7= 360 => 6x/7=360 taking 7 on the other side,
6x = 360*7 => 6x= 2520 x=2520/6 => 420. Verify this by putting value of x as 420 in x-x/7= 360 . 420-420/7=360 .. 420-60=360 so 360= 360. So the value of x = 420. Let me know if u need a solution on paper
sherryshauryasharma:
Wait this is wrong. Sum of all angles is 180 in a triangle.. sorry..
Answered by
7
Answer:
210
Step-by-step explanation:
Sum of Triangle : 180.
1/7 th of 210 is : 30;
hence 210 - 30 =180;
so the answer is 210;
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