Question

$20\%$of a larger number is 2.3 less than $30\%$ of a smaller number. The larger number also exceeds the smaller number by 10. What is the value of the larger number?

• A. 34
• B. 43
• C. 62
• D. 73
• E. 53

Answer 1

The correct option is E 53

Let the larger number and smaller number is L and S respectively.

$0.2L=0.3S-2.3\&2L-3S=-23$

$L-S=10\&2L-2S=20$

Solving the above two equations we get L = 53. Hence option (e)