Seventy eight is divided into two parts such that four times the first part and five times the second part are in the ratio 14 : 15. The first part is:
Answer & explanation
Correct answer: option 1
Here,
x + y = 78,
\(\frac{4x}{5y}\) = \(\frac{14}{15}\)
⇒ x : y = 14 : 12 = 7 : 6
⇒(7 + 6) units = 78,
⇒ 13 units = 78
⇒ 1 unit = 6
⇒ x = 7 x 6 = 42.