the sum of 1/3rd of a number and 27 is equal to 50. find the number?
Answers
Answer:
let the number be x
1/3x+27=50
x+27(3)/3=50
x+81=50×3
x+81=150
x=150-81
x=69
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Given:
✰ The sum of 1/3rd of a number and 27 is equal to 50.
To find:
✠ The number.
Solution:
Let the number be x.
Now, we know that the sum of 1/3rd of a number as we have considered the number as 'x' , So 1/3rd of x, 'of' here means multiplication and 1/3rd of x - 1/3rd × x. Now, we will add both 1/3rd × x and 27 and then we will get it's sum which is equal to 50. We will from equation by following steps and calculate the value of x which is equal to number we need to find.
According to problem,
⤀1/3 × x + 27 = 50
⤀1/3x + 27 = 50
⤀x + 27 = 50 ×3
⤀x + 27 = 150
⤀x = 150 - 27
⤀x = 150 - 27
⤀x = 123
∴ The number = 123
Let's verify it:
Substitute the value of x,
⤀1/3 × 123 + 27 = 50
⤀1/3 ×123 + 27 = 50
⤀123 + 27 = 50 ×3
⤀123 + 27 = 150
⤀ 150 = 150
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