65 of a number is 21 less than4/5
of the number then the number is
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65 of a number is 21 less than4/5
of the number then the number is
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Answer:
140
Step-by-step explanation:
Let the Number be: x
65% of x = 65x/100
→ 13x/20
4/5 of x = 4x/5
(13x/20) + 21 = 4x/5
→ {Transposing 21 to RHS and 4x/5 to LHS}
→ 13x/20-4x/5 = -21
→ 13x/20-16x/20 = -21
→ -3x/20 = -21
→ {Transposing -3/20 to RHS}
→ x = -21(-20/3)
→ x = 140
Checking the Conditions...
65% of x = 65% of 140
= 65/100×140
= 91
4/5 of x = 4/5 × 140
= 112
Difference = 112 - 91
= 21
Given Difference = 21
21 = 21
{
Condition Satisfied...}
Hence, x = 140