two numbers are in the ratio 3:7. if each number is increased by 3, the ratio becomes 1:2. the greater number is: (a)- 9 (b)-3 (c)- 7 (d)- 21
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Let the nos. be 3x and 7x respectively.
When each no. is increased by 3, the ratio becomes 1 : 2.
ATQ,
(3x + 3)/(7x + 3) = 1/2
1 × (7x + 3) = 2 × (3x + 3)
7x + 3 = 6x + 6
7x - 6x = 6 - 3
x = 3
Therefore, The nos. are 3x = 3 × 3 = 9
and 7x = 7 × 3 = 21
Hence, the greater no. will be (d) 21
Hope it helps.
When each no. is increased by 3, the ratio becomes 1 : 2.
ATQ,
(3x + 3)/(7x + 3) = 1/2
1 × (7x + 3) = 2 × (3x + 3)
7x + 3 = 6x + 6
7x - 6x = 6 - 3
x = 3
Therefore, The nos. are 3x = 3 × 3 = 9
and 7x = 7 × 3 = 21
Hence, the greater no. will be (d) 21
Hope it helps.
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