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Two numbers are in the ratio 2 : 3. When 12 is added to each, the ratio becomes
4: 5. Find the numbers.
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Two numbers are in the ratio 2:3
Let the rational between two number be x, thus the two numbers are 2x/3x.
If 12 is added to each number, they will be in the ratio 4:5 .on addition of 12 the number become 2x+12 and 3x+12 and their ratio 4:5.
2x+12/3x+12=4/5
cross multiplication
4(3x+13)=5(2x+12)
12x+48=10x+60
12x-10x =60-48
2x=12
x=12/2
x=6
The rational is 6,therefore the numbers
1st number 2x =2*6=12
2nd number 3x =3*6=18
Now the product of two numbers 12 *18 =216
The product of two numbers is 216
The two numbers are 12 and 18, while the product of two number is 216
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