There are two numbers. one number is twice the other number. the difference of the smaller number and half the larger number is
1 answer:
Let's assume x be the number.
Given that, one number is twice the other number. Hence, the second number be 2x.
So, x= smaller number and 2x= larger number.
Given that, difference of x and half of 2x is 20. Hence,
x-x=20 (By simplifying)
0=20
From the above result we can see that x has vanish and we are left with 0=20 which is mathematically not correct.
Hence, there is no solution.
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We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.