Question

14. Two numbers are in the ratio 3: 4. If their LCM is 180. find the numbers.
Hint. Let the required numbers be 3x and 4x.
Then, their LCM Is 12x.
15. The ages of A and B are in the ratio 8: 3. Six years hence, their ages will be in the ratio 9:4.
Find their present ages.
16. The ratio of copper and zinc in an alloy is 9 : 5. If the weight of copper in the alloy is
48.6 grams, find the weight of zinc in the alloy.
17. The ratio of boys and girls in a school is 8: 3. If the total number of girls be 375. find the
number of boys in the school.
18. The ratio of monthly income to the savings of a family is 11:2. If the savings be * 2500, für
the income and expenditure.
9. A bag contains * 750 in the form of rupee, 50 P and 25 P coins in the ratio 5:8:4. Find
number of coins of each type.
0. If (4x + 5): (3x +11) = 13:17, find the value of x.
1. If x : y = 3:4, find (3x + 4y): (5x + 6y).
2. If x : y = 6:11, find (8x - 3y): (3x +2y).
- Two numbers are in the ratio 5:7. If the sum of the numbers is 720, find the numb
Which ratio is greater?
(1) (5:6) or (7:9)
(ii) (2:3) or (4 : 7)
(iii) (1 : 2) or (4 : 7)
(iv) (3:5) or (8:13)​

Answer 1

Answer:

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Step-by-step explanation:

Let the two numbers be 3x and 4x and HCF be x

We know that

Product of two number=Product of their LCM and HCF

So,

4x×3x=180×x

12x

2

=180x

12x=180

x=15

3x=3×15=45

4x=4×15=60

Therefore the numbers are 45 and 60

Answer 2

Let the two numbers be 3x and 4x and HCF be x

We know that

Product of two number=Product of their LCM and HCF

So,

4x×3x=180×x

12x

2

=180x

12x=180

x=15

3x=3×15=45

4x=4×15=60

Therefore the numbers are 45 and 60.