. Two numbers are in the ratio 4 : 5 and their sum is 180. Find the numbers.
• A number is divided in the ratio 15 : 8. If the second part is 56, find the number
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Answer:
80 and 100
Step-by-step explanation:
1] The ratio of numbers is 4:5
Let the common factor be x .
Thus , 4x+5x = 180 ....(from given condition)
Hence , 9x=180
x=20
Thus , numbers are 4x = 4×20 = 80 and 5x=5×20=100
∴The numbers are 80 and 100
2] Let the common ratio be x.
∴8x = 56
∴x=7
∴15x=15×7=105
∴ The original number is 105+56 = 161
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