12. Two numbers are in ratio 2:7. If each number is increased by 12, the ratio becomes
1:2. then the numbers are
13. Two numbers are in ratio 2:3. If each number is decreased by 12, the ratio becomes
1:2.then the numbers are
14. The ratio of two numbers is 4:7 and their sum is 308, the greater of the two
numbers is
15. Two numbers are in ratio 3:4 if each number is increased by 7, the ratio becomes
7:9.the difference between the two numbers is
Answers
Answer:
12 is easy so 2x+12/7x+12=1/2 solve it and u will get answer plz follow and mark me as brainlist
Answer:
( I suppose )...
12. 8, 28
13. 24, 36
14. 196
15. 14.
Step-by-step explanation:
12. Let the two numbers be 2x and 7x respectively.
According to question,
( 2x + 12 ) / ( 7x + 12 ) = 1/2
=> 4x + 24 = 7x + 12
=> 7x + 12 = 4x + 24
=> 7x - 4x = 24 - 12
=> 3x = 12
=> x = 4
So,
One number
= 2x
= 2 × 4
= 8.
Another number
= 7x
= 7 × 4
= 28.
Therefore, the two numbers are 8 and 28 respectively.
13. Let the two numbers be 2x and 3x respectively.
According to question,
( 2x - 12 ) / ( 3x - 12 ) = 1/2
=> 4x - 24 = 3x - 12
=> 4x - 3x = - 12 + 24
=> x = 12
So,
One number
= 2x
= 2 × 12
= 24.
Another number
= 3x
= 3 × 12
= 36.
Therefore, the two numbers are 24 and 36 respectively.
14. Let the two numbers be 4x and 7x respectively.
According to question,
4x + 7x = 308
=> 11x = 308
=> x = 28
So,
One number
= 4x
= 4 × 28
= 112.
Another number
= 7x
= 7 × 28
= 196.
Therefore, the greater of the two numbers is 196.
15. Let the two numbers be 3x and 4x respectively.
According to question,
( 3x + 7 ) / ( 4x + 7 ) = 7/9
=> 27x + 63 = 28x + 49
=> 28x + 49 = 27x + 63
=> 28x - 27x = 63 - 49
=> x = 14
So,
One number
= 3x
= 3 × 14
= 42.
Another number
= 4x
= 4 × 14
= 56.
The difference between the two numbers
= 56 - 42
= 14.
Therefore, the difference between the two numbers is 14.
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