Q2 of 46 Page 156

Find three consecutive odd numbers whose sum is 219.

Sum of three consecutive odd numbers is 219


Odd number is of the form 2k - 1


Let the numbers be 2k - 3,2k - 1,2k + 1,


⇒ 6k - 3 = 219


⇒ 6k = 222


⇒ k = 37


⇒ numbers are 71,73,75.


More from this chapter

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2

Solve the Equations

(i) 5x = 3x + 24 (ii) 8t + 5 = 2t – 31


(iii) 7x – 10 = 4x + 11 (iv) 4z + 3 = 6 + 2z


(v) 2x – 1 = 14 – x (vi) 6x + 1 = 3(x – 1) + 7


(vii) (viii)


(ix)3(x + 1) = 12 + 4(x – 1) (x) 2x – 5 = 3(x – 5)


(xi) 6(1 – 4x) + 7(2 + 5x) = 53 (xii) 3(x + 6) + 2(x + 3) = 64


(xiii) (xiv) (3/4) ( x - 1) = (x - 3)

 1

If 4 is added to a number and the sum is multiplied by 3, the result is 30. Find the number.

 3

A number subtracted by 30 gives 14 subtracted by 3 times the number. Find the number.

 4

If 5 is subtracted from 3 times a number, the result is 16. Find the number.