Let the integers be 2x and 5x because their ratio is 2:5. Their difference is 63. Therefore, 5x minus 2x equals 63. Solving gives x equal to 21. Hence, the integers are 42 and 105.
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Let Salil’s present age be x years. Then his mother’s age is 3x years. After 5 years, their ages total 70 years. Solving gives x equal to 15. Therefore, their present ages are 15 and 45 years.
Let the smaller number be x. Then the larger number is x plus 10. Their sum is 64. Solving the equation gives x equal to 27. Therefore, the two numbers are 27 and 37.
If m represents the number of matches played, then the total amount paid is 200 plus 50m. The amount increases by 50 rupees for every additional match played by the member.
The perimeters are 4 cm, 6 cm, 8 cm, 10 cm and 12 cm respectively. When the side increases by 0.5 cm, the perimeter increases by 2 cm each time. This shows a linear pattern.