Question
Two numbers are such that the square of one is 224 less
than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, find the numbers.Solution
Let there is a common term be x Then the numbers will be 4x and 3x. According to the question- (4x) ² = 8(3x) ² - 224 8(3x) ² - (4x) ² = 224 72x² - 16x² = 224 56x² = 224 x² = 4 x = 2, then numbers =4x =4×2=8 and 3x =3×2 =6. numbers 6,8
More Ratio Questions
6 0 - 20 [8 + 12 {8-8 (20-12)+20}-40] ÷ 16 =?
Simplify the following expressions and choose the correct option.
[(13)² − (9)²] × (5/8) = ?
(25 × 12 + 30 × 8 – 22 × 10) = ?
√1764 + 35 × 8 + 39 = ?2
If a nine-digit number 389x6378y is divisible by 72, then the value of √(6x + 7y) will be∶
72 – 4(40 + 24 ÷ 6 × 6 – 4 × 4) + 40
36% of 250 – 18% of 200 = 30% of ?
32 of (16/8) of (30/24) of (120/x) = 30
- What will come in place of (?), in the given expression.
(81 ÷ 9) + (121 ÷ 11) + (64 ÷ 8) = ? Simplify:
0.48 ÷ 0.06 + 0.75 × (4/5)
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