Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Two numbers are in the ratio 7:5. If their sum is 360, then the difference between them will be:
80
70
90
60
60
Calculate the difference in ratio parts (7 - 5 = 2) and multiply by (Total Sum / Sum of ratio parts) = (360 / 12) = 30. Result = 2 * 30 = 60.
Two numbers are in ratio 7:5. The sum of these two numbers is 360.
Sum=(a+b)x=360, Difference=(aтИТb)x
Calculate the difference in ratio parts (7 - 5 = 2) and multiply by (Total Sum / Sum of ratio parts) = (360 / 12) = 30. Result = 2 * 30 = 60.
Students often calculate the individual numbers (210 and 150) and then subtract them, which is correct but slower; many also mistakenly add the ratio parts incorrectly.
Define the ratio variables
Let the two numbers be 7x and 5x based on the given ratio of 7:5.
7x,5x
Calculate the value of x
The sum of the numbers is given as 360. Adding the terms: 7x+5x=360, which simplifies to 12x=360. Dividing by 12, we find x=30.
12x=360тЯ╣x=30
Find the difference
The difference between the two numbers is 7xтИТ5x=2x. Substituting x=30, we get 2├Ч30=60.
7xтИТ5x=2x=2(30)=60
D is correct because the difference between the two numbers calculated from the ratio parts is 60.
This concept of 'Ratio Parts' is fundamental in Mixture and Alligation problems where you define components by variable units.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants