Question

16. The sum of three consecutive multiples of 13 is 819. Find these multiples.
17. The difference between two whole numbers is 125. The ratio between the two numbers is 2:3. Find the
numbers.
18. Manu is 8 years younger than Beenu and 10 years older than Tinu. The sum of their ages is 136 years. Find

Answer 1

16. Given that the sum of 3 consecutive multiples of 13 is 819.

Let the three consecutive multiples of 13 be x, x + 13 and x + 26

➡ x + x + 13 + x + 26 = 819

➡ 3x + 39 = 819

➡ 3x = 819 - 39

➡ 3x = 780

➡ x = 780/3

➡ x = 260

Hence, the consecutive multiples are :-

• x = 260

• x + 13 = 260 + 13 = 273

• x + 26 = 260 + 26 = 276

17. Given the ratio between the whole numbers is 2 : 3

Let the numbers be 2x and 3x

Therefore 3x - 2x = 125

➡ x = 125

Hence the whole numbers are :-

• 2x = 2 × 125 = 250

• 3x = 3 × 125 = 375

Answer 2

Answer:

16.

Suppose the three consecutive multiples of

13 = x , x + 13

And x + 26.

x + x + 13 + x + 26 = 819.

3x + 39 = 819.

3x = 819 - 39

3x =780.

x = 780/3

x = 260 .

x = 260.

x + 13 = 260+13

= 273.

X + 26 = 260+26

= 276.

17.

Suppose the number = 2x and 3x

= 3x - 2x

= 125.

x = 125.

The whole n.o are :

2x = 2 × 125

= 250.

3x = 3 × 125

= 375.