Answer:
The original number is 1250.
Step-by-step explanation:
We have to find the original number, we set up an equation.
Let's assume the original number "x"
You know that after increasing it by 20%, the number becomes 1500.
[tex] \implies\sf x + 0.20x = 1500[/tex]
[tex] \implies\sf 1.2x = 1500[/tex]
[tex]\implies \sf x = \dfrac{1500} { 1.2}[/tex]
[tex] \implies\sf x = 1250[/tex]
So, the original number is 1250.
[tex] \bf Verification[/tex]
Original Number = 1250
20% of 1250
= 0.20 × 1250
= 250
Now,
Add 250 (20% of 1250) to the original number
1250 + 250 = 1500
The result is 1500
So the original number is 1250.
[tex]\:\sf(a + b)^2 = a^2 + 2ab + b^2[/tex]
[tex]\:\sf(a - b)^2 = a^2 - 2ab + b^2[/tex]
[tex]\:\sf(a + b)(a - b) = a^2 - b^2[/tex]
[tex]\:\sf(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3[/tex]
[tex]\:\sf(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]
[tex]\:\sf(a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4[/tex]
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Answers & Comments
Answer:
The original number is 1250.
Step-by-step explanation:
We have to find the original number, we set up an equation.
Let's assume the original number "x"
You know that after increasing it by 20%, the number becomes 1500.
[tex] \implies\sf x + 0.20x = 1500[/tex]
[tex] \implies\sf 1.2x = 1500[/tex]
[tex]\implies \sf x = \dfrac{1500} { 1.2}[/tex]
[tex] \implies\sf x = 1250[/tex]
So, the original number is 1250.
[tex] \bf Verification[/tex]
Original Number = 1250
20% of 1250
= 0.20 × 1250
= 250
Now,
Add 250 (20% of 1250) to the original number
1250 + 250 = 1500
The result is 1500
So the original number is 1250.
Additional information :-
[tex]\:\sf(a + b)^2 = a^2 + 2ab + b^2[/tex]
[tex]\:\sf(a - b)^2 = a^2 - 2ab + b^2[/tex]
[tex]\:\sf(a + b)(a - b) = a^2 - b^2[/tex]
[tex]\:\sf(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3[/tex]
[tex]\:\sf(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]
[tex]\:\sf(a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4[/tex]