one third of a number increased by 5 is equal to its half part decressed by 5 find the number.
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✪ Question ✪
One third of a number increased by 5 is equal to its half part decressed by 5. Find the number.
✪ Given ✪
One third of the number increased by 5 is equal to its half part decressed by 5.
✪ To find ✪
The number.
✪ Solution ✪
Let the number be x.
According to condition,
x/3+5 = x/2-5
↝ (x+15)/3 = (x-10)/2
↝ 2(x+15) = 3(x-10)
↝ 2x+30 = 3x-30
↝ 2x-3x = -30-30
↝ -x = -60
↝ x = 60
✪ Hence ✪
☞ x = 60
✪ Therefore ✪
The number is 60.
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✪ Verification ✪
x/3+5 = x/2-5
↝ 60/3+5 = 60/2 -5
↝ 20+5 = 30-5
↝ 25 = 25
So, L.H.S = R.H.S.
Hence, verified.
๑ Hope this helps you. ๑
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