Answer:
We can now take 2 as the third digit, 3 as the fourth digit, 4 as the fifth digit and finally 5 as the sixth digit. Therefore, the smallest 6-digit number having all different digits is 102345.
Answers – Daniel is 13 years old; Ben is 33 years old
WORKINGS
Let Ben’s age be ‘x’
Let Daniel’s age be ‘y’
Given: Ben is 20 years older than Daniel
x = y + 20 ….. (Equation I)
Given: Three years ago, Ben was 3 times as old as Daniel.
x – 3 = 3(y – 3) ….. (Equation II)
Substitute ‘y + 20’ for x in Equation II
x – 3 = 3(y – 3)
(y + 20) – 3 = 3(y – 3)
y + 20 – 3 = 3y – 9
y + 17 = 3y – 9
3y – y = 17 + 9
2y = 26
y = 13
Daniel is 13 years old ….. (Answer I)
Substitute 13 for the value of ‘y’ in equation I
x = y +20
x = 13 + 20
x = 33
Ben is 33 years old ….. (Answer II)
<span> (x-5/2)^2 =25/4 hop it helps
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Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
