Two numbers are in the ratio 7:5. If 2 is subtracted from each of them, the ratio becomes 3:2. Find the numbers.
2 answers:
Answer:
Step-by-step explanation:
Ratio = 7 : 5
Numbers are 7x , 5x
Cross multiply,
2*(7x - 2) = 3*(5x -2)
2*7x - 2*2 = 3*5x - 3*2
14x - 4 = 15x - 6
14x - 4 + 6 = 15x {Add 6 to both sides}
14x + 2 = 15x
2 = 15x - 14x {Subtract '4x' from both sides}
x = 2
7x = 7*2 = 14
5x = 5*2 = 10
Numbers are 14 , 10
Answer:
The numbers are in the ratio 5:7
Let their common multiple be 'x'
The numbers are 5x, 7x
If 3 is subtracted from each of them the ratio becomes 2:3
5x-3/7x-3 = 2/3
3(5x-3) = 2(7x-3) (cross multiplication)
15x -9 = 14x -6
15x-14x = -6+9
x=+3
Therefore the numbers are 5* 3 =15, 7*3 = 21
(Verifications when 3 is subtracted from each other ,the ratio is 2/3, 15–3/21–3 = 12/18 = 2/3 ) verified)
The numbers are 15 & 21.
Step-by-step explanation:
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Answer:
a = 6
Step-by-step explanation:
first try to divide all numbers by 3 and the add 4 to it until you get 6
Answer:
x = 2,66
Step-by-step explanation:
4x + 2x = 6 + 10
6x = 16
6x % 6 = 16 % 6
x = 2 ,66
<span>1. 3a²-a = a(3a - 1)
2. 7ab³-14b = 7b(ab^2 - 2)
3. x³-x²+x = x(x^2 - x + 1)
4. 12x³-xy² = x(12x^2 - y^2)
5. 5x-6x²+7x³ = x(5 - 6x + 7x^2)
6. 7a+8ab+9a² = a(7 + 8b + 9a)
7.3x²-3xy+6xy²
</span>= 3x(x - y + 2y^2)
So sorry I got it wrong and don't know how to delete
( 16-24)-(57-77)÷(-2)
= -8-(-20)÷-2
= -8+20÷-2
= -18
Answer -18 <<<
