0 vote
Two numbers are in the ratio of 5 ∶ 7. If the twice of smaller number is less than twice of the larger number by 30. The value of smaller number is_________
Two numbers are in the ratio of 5 ∶ 7. If the twice of smaller number is less than twice of the larger number by 30. The value of smaller number is_________
1). 42.5
2). 37.5
3). 52.5
4). 24.5
1 answers
2 vote
Let assume, smaller number as x and larger number as y,
⇒ x/y = 5/7
⇒ x = 5y/7 ----(I)
By the data given in the question,
⇒ 2x = 2y - 30
Substitute the value of Eq(I) in above equation,
⇒ 2(5y/7) = 2y - 30
⇒ 10y = 14y - 210
⇒ 210 = 4y
⇒ y = 52.5
⇒ x = 5 × 52.5/7 = 37.5
∴ value of smaller number = 37.5