Advertisements
Advertisements
Question
Verify the following:
91 : 104 : : 119 : 136
Solution
91:104::119:136
`91/104=(91 ÷ 13)/(104 ÷ 13)=7/8` (H.C.F. of 91 and 104 is 13.)
`119/136=(119 ÷ 17)/(136 ÷ 17)=7/8` (H.C.F. of 11 and 136 is 17.)
Hence, 91:104::119:136 are in proportion.
APPEARS IN
RELATED QUESTIONS
Find the mean proportional between `6 + 3sqrt(3)` and `8 - 4sqrt(3)`
Given four quantities a, b, c and d are in proportion. Show that: (a – c)b2 : (b – d)cd = (a2 – b2 – ab) : (c2 – d2 – cd)
Find the fourth proportion to the following:
(p2q - qr2 ), (pqr - pr2 ) and (pq2 - pr2)
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^2/b^2 + z^3/c^2 = ((x + y + z)^3)/((a + b ++ c)^2)`.
If 15 tins of the same size contain 234 kg of oil, how much oil will there be in 10 such tins?
A transport company charges Rs 540 to carry 25 tonnes of weight. What will it charge to carry 35 tonnes?
The weight of 65 books is 13 kg.
(i) What is the weight of 80 such books?
(ii) How many such books weigh 6.4 kg?
If ax = by = cz; prove that `x^2/"yz" + y^2/"zx" + z^2/"xy" = "bc"/a^2 + "ca"/b^2 + "ab"/c^2`
If 2, 6, p, 54 and q are in continued proportion, find the values of p and q.
Determine if the following are in proportion.
24, 28, 36, 48