Question

1. Two numbers are in the ratio 8:3. If sum of the numbers is 143, find the numbers.
2. Four-fifths of a number is 10more than two-thirds of the number. Find the number.
3. If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.
4. The width of a rectangle is two-thirds its length. If the perimeter is 180m, find the dimensions of the rectangle.
5. Rakhi's mother is four times as old as Rakhi. After 5years, her mother will be three times as she will be then.
Find their present ages.
6. The length of a rectangle exceeds its breadth by 7cm. If the length is deceased by 4cm and the breadth is
increased by 3cm, the area of the new rectangle is the same as the area of original rectangle. Find the length and
breadth of the original rectangle.
7. The difference between ages of two cousins is 10years. 15yearsago, if the elder one was twice as old as the
younger one, find their present ages.
8. Find three consecutive even numbers whose sum is 234.
9. Twenty four is divided into two parts such that times the first part added to 5times the second part makes
146. Find each part.
10. Three numbers are in ratio 4:5:6. If the sum of the largest and the smallest equals the sum of the third and
55, find the numbers.
11. The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be increased by 4
cm, and the base decreased by 2cm, the area of the triangle remains the same. Find the base and altitude of the
triangle.
12.. The ages of Sonu and Monu are in the ratio 5:7. If Sonu were 9yearsolder and Monu 9years younger, the age
of Sonu would have been twice the age of Monu. Find their ages.
15. Two years ago, Dalip was three times as old as his son and two years hence, twice his age will be equal to fiv
times that of his son. Find their present ages.
16. The digit in the tens place of a two-digit number is three times that in the units place. If the digits are
Feversed, the new number will be 36 less than the original number. Find the original number.​

Answer 1

Step-by-step explanation:

1. let 1 st no. be 8x

2nd no. be 3x

$8x + 3x = 143 \\ 11x = 143 \\ x = \frac{143}{11} \\ x = 13$

the no. is 13

1st no. is 8x = 8×13=104

2nd no. is 3x= 3×13=39

Hope it helps