solve each of the following equations and check your answer in each case :5/8 x-6 =9
Answers
Step-by-step explanation:
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Page No 139:
Question 1:
Write each of the following statements as an equation:
(i) 5 times a number equals 40.
(ii) A number increased by 8 equals 15.
(iii) 25 exceeds a number by 7.
(iv) A number exceeds 5 by 3.
(v) 5 subtracted from thrice a number is 16.
(vi) If 12 is subtracted from a number, the result is 24.
(vii) Twice a number subtracted from 19 is 11.
(viii) A number divided by 8 gives 7.
(ix) 3 less than 4 times a number is 17.
(x) 6 times a number is 5 more than the number.
ANSWER:
(i) Let the required number be x.
So, five times the number will be 5x.
∴ 5x = 40
(ii) Let the required number be x.
So, when it is increased by 8, we get x + 8.
∴ x + 8 = 15
(iii) Let the required number be x.
So, when 25 exceeds the number, we get 25 − x.
∴ 25 − x = 7
(iv) Let the required number be x.
So, when the number exceeds 5, we get x − 5.
∴ x − 5 = 3
(v) Let the required number be x.
So, thrice the number will be 3x.
∴ 3x − 5 = 16
(vi) Let the required number be x.
So, 12 subtracted from the number will be x − 12.
∴ x − 12 = 24
(vii) Let the required number be x.
So, twice the number will be 2x.
∴ 19 − 2x = 11
(viii) Let the required number be x.
So, the number when divided by 8 will be x8.
∴ x8 = 7
(ix) Let the required number be x.
So, four times the number will be 4x.
∴ 4x − 3 = 17
(x) Let the required number be x.
So, 6 times the number will be 6x.
∴ 6x = x + 5
Answer:
5/8x-6=9
5/8x =9+6
5/8x=15
x=15×8/5
x=24